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Finding the Fourth Proportional to 1,359.07, 2,037.78 and 741.92

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Solution

The fourth proportional to 1,359.07, 2,037.78 and 741.92 is: 1,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.07 : 2,037.78 = 741.92 : x
  2. Step 2: Convert to fraction form
    1,359.07/2,037.78 = 741.92/x
  3. Step 3: Cross multiply
    1,359.07x = 2,037.78 × 741.92
  4. Step 4: Simplify right side
    1,359.07x = 1,511,869.97
  5. Step 5: Solve for x
    x = 1,511,869.97/1,359.07
  6. Step 6: Final answer
    x = 1,112.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.