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Finding the Fourth Proportional to 1,472.56, 2,207 and 1,289.10

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Solution

The fourth proportional to 1,472.56, 2,207 and 1,289.10 is: 1,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.56 : 2,207 = 1,289.10 : x
  2. Step 2: Convert to fraction form
    1,472.56/2,207 = 1,289.10/x
  3. Step 3: Cross multiply
    1,472.56x = 2,207 × 1,289.10
  4. Step 4: Simplify right side
    1,472.56x = 2,845,043.70
  5. Step 5: Solve for x
    x = 2,845,043.70/1,472.56
  6. Step 6: Final answer
    x = 1,932.04

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