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Finding the Fourth Proportional to 1,990.31, 2,984.85 and 895.19

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Solution

The fourth proportional to 1,990.31, 2,984.85 and 895.19 is: 1,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.31 : 2,984.85 = 895.19 : x
  2. Step 2: Convert to fraction form
    1,990.31/2,984.85 = 895.19/x
  3. Step 3: Cross multiply
    1,990.31x = 2,984.85 × 895.19
  4. Step 4: Simplify right side
    1,990.31x = 2,671,992.95
  5. Step 5: Solve for x
    x = 2,671,992.95/1,990.31
  6. Step 6: Final answer
    x = 1,342.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.