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Finding the Fourth Proportional to 1,437.52, 2,150.60 and 1,427

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Solution

The fourth proportional to 1,437.52, 2,150.60 and 1,427 is: 2,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.52 : 2,150.60 = 1,427 : x
  2. Step 2: Convert to fraction form
    1,437.52/2,150.60 = 1,427/x
  3. Step 3: Cross multiply
    1,437.52x = 2,150.60 × 1,427
  4. Step 4: Simplify right side
    1,437.52x = 3,068,906.20
  5. Step 5: Solve for x
    x = 3,068,906.20/1,437.52
  6. Step 6: Final answer
    x = 2,134.86

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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.