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Finding the Fourth Proportional to 1,652.13, 2,278.26 and 1,092.02

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Solution

The fourth proportional to 1,652.13, 2,278.26 and 1,092.02 is: 1,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.13 : 2,278.26 = 1,092.02 : x
  2. Step 2: Convert to fraction form
    1,652.13/2,278.26 = 1,092.02/x
  3. Step 3: Cross multiply
    1,652.13x = 2,278.26 × 1,092.02
  4. Step 4: Simplify right side
    1,652.13x = 2,487,894.09
  5. Step 5: Solve for x
    x = 2,487,894.09/1,652.13
  6. Step 6: Final answer
    x = 1,505.87

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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.