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Finding the Fourth Proportional to 1,372.52, 2,054.16 and 1,141.87

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Solution

The fourth proportional to 1,372.52, 2,054.16 and 1,141.87 is: 1,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.52 : 2,054.16 = 1,141.87 : x
  2. Step 2: Convert to fraction form
    1,372.52/2,054.16 = 1,141.87/x
  3. Step 3: Cross multiply
    1,372.52x = 2,054.16 × 1,141.87
  4. Step 4: Simplify right side
    1,372.52x = 2,345,573.41
  5. Step 5: Solve for x
    x = 2,345,573.41/1,372.52
  6. Step 6: Final answer
    x = 1,708.96

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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.