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Finding the Fourth Proportional to 1,765.81, 2,645.85 and 932.84

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Solution

The fourth proportional to 1,765.81, 2,645.85 and 932.84 is: 1,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.81 : 2,645.85 = 932.84 : x
  2. Step 2: Convert to fraction form
    1,765.81/2,645.85 = 932.84/x
  3. Step 3: Cross multiply
    1,765.81x = 2,645.85 × 932.84
  4. Step 4: Simplify right side
    1,765.81x = 2,468,144.29
  5. Step 5: Solve for x
    x = 2,468,144.29/1,765.81
  6. Step 6: Final answer
    x = 1,397.74

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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.