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Finding the Fourth Proportional to 2,171.36, 3,254.83 and 854.25

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Solution

The fourth proportional to 2,171.36, 3,254.83 and 854.25 is: 1,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.36 : 3,254.83 = 854.25 : x
  2. Step 2: Convert to fraction form
    2,171.36/3,254.83 = 854.25/x
  3. Step 3: Cross multiply
    2,171.36x = 3,254.83 × 854.25
  4. Step 4: Simplify right side
    2,171.36x = 2,780,428.99
  5. Step 5: Solve for x
    x = 2,780,428.99/2,171.36
  6. Step 6: Final answer
    x = 1,280.50

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Double scale
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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.