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Finding the Fourth Proportional to 1,712.55, 2,564.24 and 1,092.90

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Solution

The fourth proportional to 1,712.55, 2,564.24 and 1,092.90 is: 1,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.55 : 2,564.24 = 1,092.90 : x
  2. Step 2: Convert to fraction form
    1,712.55/2,564.24 = 1,092.90/x
  3. Step 3: Cross multiply
    1,712.55x = 2,564.24 × 1,092.90
  4. Step 4: Simplify right side
    1,712.55x = 2,802,452.43
  5. Step 5: Solve for x
    x = 2,802,452.43/1,712.55
  6. Step 6: Final answer
    x = 1,636.42

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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.