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Finding the Fourth Proportional to 1,711.53, 2,564.26 and 1,402.92

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Solution

The fourth proportional to 1,711.53, 2,564.26 and 1,402.92 is: 2,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.53 : 2,564.26 = 1,402.92 : x
  2. Step 2: Convert to fraction form
    1,711.53/2,564.26 = 1,402.92/x
  3. Step 3: Cross multiply
    1,711.53x = 2,564.26 × 1,402.92
  4. Step 4: Simplify right side
    1,711.53x = 3,597,448.13
  5. Step 5: Solve for x
    x = 3,597,448.13/1,711.53
  6. Step 6: Final answer
    x = 2,101.89

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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.