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Finding the Fourth Proportional to 1,652.52, 2,474.94 and 1,325.16

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Solution

The fourth proportional to 1,652.52, 2,474.94 and 1,325.16 is: 1,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.52 : 2,474.94 = 1,325.16 : x
  2. Step 2: Convert to fraction form
    1,652.52/2,474.94 = 1,325.16/x
  3. Step 3: Cross multiply
    1,652.52x = 2,474.94 × 1,325.16
  4. Step 4: Simplify right side
    1,652.52x = 3,279,691.49
  5. Step 5: Solve for x
    x = 3,279,691.49/1,652.52
  6. Step 6: Final answer
    x = 1,984.66

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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.