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Finding the Fourth Proportional to 1,402.72, 2,104.56 and 753.94

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Solution

The fourth proportional to 1,402.72, 2,104.56 and 753.94 is: 1,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.72 : 2,104.56 = 753.94 : x
  2. Step 2: Convert to fraction form
    1,402.72/2,104.56 = 753.94/x
  3. Step 3: Cross multiply
    1,402.72x = 2,104.56 × 753.94
  4. Step 4: Simplify right side
    1,402.72x = 1,586,711.97
  5. Step 5: Solve for x
    x = 1,586,711.97/1,402.72
  6. Step 6: Final answer
    x = 1,131.17

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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.