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Finding the Fourth Proportional to 1,761.12, 2,641.56 and 462.60

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Solution

The fourth proportional to 1,761.12, 2,641.56 and 462.60 is: 693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.12 : 2,641.56 = 462.60 : x
  2. Step 2: Convert to fraction form
    1,761.12/2,641.56 = 462.60/x
  3. Step 3: Cross multiply
    1,761.12x = 2,641.56 × 462.60
  4. Step 4: Simplify right side
    1,761.12x = 1,221,985.66
  5. Step 5: Solve for x
    x = 1,221,985.66/1,761.12
  6. Step 6: Final answer
    x = 693.87

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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.