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Finding the Fourth Proportional to 1,562.92, 2,151.90 and 1,296.28

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Solution

The fourth proportional to 1,562.92, 2,151.90 and 1,296.28 is: 1,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.92 : 2,151.90 = 1,296.28 : x
  2. Step 2: Convert to fraction form
    1,562.92/2,151.90 = 1,296.28/x
  3. Step 3: Cross multiply
    1,562.92x = 2,151.90 × 1,296.28
  4. Step 4: Simplify right side
    1,562.92x = 2,789,464.93
  5. Step 5: Solve for x
    x = 2,789,464.93/1,562.92
  6. Step 6: Final answer
    x = 1,784.78

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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.