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Finding the Fourth Proportional to 1,652.93, 2,281.14 and 1,092.41

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Solution

The fourth proportional to 1,652.93, 2,281.14 and 1,092.41 is: 1,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.93 : 2,281.14 = 1,092.41 : x
  2. Step 2: Convert to fraction form
    1,652.93/2,281.14 = 1,092.41/x
  3. Step 3: Cross multiply
    1,652.93x = 2,281.14 × 1,092.41
  4. Step 4: Simplify right side
    1,652.93x = 2,491,946.78
  5. Step 5: Solve for x
    x = 2,491,946.78/1,652.93
  6. Step 6: Final answer
    x = 1,507.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.