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Finding the Fourth Proportional to 1,712.48, 2,564.40 and 1,061.24

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Solution

The fourth proportional to 1,712.48, 2,564.40 and 1,061.24 is: 1,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.48 : 2,564.40 = 1,061.24 : x
  2. Step 2: Convert to fraction form
    1,712.48/2,564.40 = 1,061.24/x
  3. Step 3: Cross multiply
    1,712.48x = 2,564.40 × 1,061.24
  4. Step 4: Simplify right side
    1,712.48x = 2,721,443.86
  5. Step 5: Solve for x
    x = 2,721,443.86/1,712.48
  6. Step 6: Final answer
    x = 1,589.18

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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.