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Finding the Fourth Proportional to 2,000.93, 2,761.25 and 1,116.95

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Solution

The fourth proportional to 2,000.93, 2,761.25 and 1,116.95 is: 1,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.93 : 2,761.25 = 1,116.95 : x
  2. Step 2: Convert to fraction form
    2,000.93/2,761.25 = 1,116.95/x
  3. Step 3: Cross multiply
    2,000.93x = 2,761.25 × 1,116.95
  4. Step 4: Simplify right side
    2,000.93x = 3,084,158.80
  5. Step 5: Solve for x
    x = 3,084,158.80/2,000.93
  6. Step 6: Final answer
    x = 1,541.37

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.