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Finding the Fourth Proportional to 3,134.17, 4,701.35 and 942.90

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Solution

The fourth proportional to 3,134.17, 4,701.35 and 942.90 is: 1,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.17 : 4,701.35 = 942.90 : x
  2. Step 2: Convert to fraction form
    3,134.17/4,701.35 = 942.90/x
  3. Step 3: Cross multiply
    3,134.17x = 4,701.35 × 942.90
  4. Step 4: Simplify right side
    3,134.17x = 4,432,902.92
  5. Step 5: Solve for x
    x = 4,432,902.92/3,134.17
  6. Step 6: Final answer
    x = 1,414.38

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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.