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Finding the Fourth Proportional to 1,765.34, 2,649.46 and 932.72

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Solution

The fourth proportional to 1,765.34, 2,649.46 and 932.72 is: 1,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.34 : 2,649.46 = 932.72 : x
  2. Step 2: Convert to fraction form
    1,765.34/2,649.46 = 932.72/x
  3. Step 3: Cross multiply
    1,765.34x = 2,649.46 × 932.72
  4. Step 4: Simplify right side
    1,765.34x = 2,471,190.50
  5. Step 5: Solve for x
    x = 2,471,190.50/1,765.34
  6. Step 6: Final answer
    x = 1,399.83

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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.