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Finding the Fourth Proportional to 2,932.42, 4,397.82 and 1,177.42

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Solution

The fourth proportional to 2,932.42, 4,397.82 and 1,177.42 is: 1,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.42 : 4,397.82 = 1,177.42 : x
  2. Step 2: Convert to fraction form
    2,932.42/4,397.82 = 1,177.42/x
  3. Step 3: Cross multiply
    2,932.42x = 4,397.82 × 1,177.42
  4. Step 4: Simplify right side
    2,932.42x = 5,178,081.22
  5. Step 5: Solve for x
    x = 5,178,081.22/2,932.42
  6. Step 6: Final answer
    x = 1,765.80

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