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Finding the Fourth Proportional to 2,778.32, 4,168.17 and 929.45

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Solution

The fourth proportional to 2,778.32, 4,168.17 and 929.45 is: 1,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.32 : 4,168.17 = 929.45 : x
  2. Step 2: Convert to fraction form
    2,778.32/4,168.17 = 929.45/x
  3. Step 3: Cross multiply
    2,778.32x = 4,168.17 × 929.45
  4. Step 4: Simplify right side
    2,778.32x = 3,874,084.77
  5. Step 5: Solve for x
    x = 3,874,084.77/2,778.32
  6. Step 6: Final answer
    x = 1,394.40

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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.