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Finding the Fourth Proportional to 1,760.48, 2,641.84 and 991.52

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Solution

The fourth proportional to 1,760.48, 2,641.84 and 991.52 is: 1,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.48 : 2,641.84 = 991.52 : x
  2. Step 2: Convert to fraction form
    1,760.48/2,641.84 = 991.52/x
  3. Step 3: Cross multiply
    1,760.48x = 2,641.84 × 991.52
  4. Step 4: Simplify right side
    1,760.48x = 2,619,437.20
  5. Step 5: Solve for x
    x = 2,619,437.20/1,760.48
  6. Step 6: Final answer
    x = 1,487.91

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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.