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Finding the Fourth Proportional to 3,008.35, 4,512.68 and 929.78

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Solution

The fourth proportional to 3,008.35, 4,512.68 and 929.78 is: 1,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.35 : 4,512.68 = 929.78 : x
  2. Step 2: Convert to fraction form
    3,008.35/4,512.68 = 929.78/x
  3. Step 3: Cross multiply
    3,008.35x = 4,512.68 × 929.78
  4. Step 4: Simplify right side
    3,008.35x = 4,195,799.61
  5. Step 5: Solve for x
    x = 4,195,799.61/3,008.35
  6. Step 6: Final answer
    x = 1,394.72

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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.