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Finding the Fourth Proportional to 1,562.06, 2,155.64 and 932.87

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Solution

The fourth proportional to 1,562.06, 2,155.64 and 932.87 is: 1,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.06 : 2,155.64 = 932.87 : x
  2. Step 2: Convert to fraction form
    1,562.06/2,155.64 = 932.87/x
  3. Step 3: Cross multiply
    1,562.06x = 2,155.64 × 932.87
  4. Step 4: Simplify right side
    1,562.06x = 2,010,932.61
  5. Step 5: Solve for x
    x = 2,010,932.61/1,562.06
  6. Step 6: Final answer
    x = 1,287.36

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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.