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Finding the Fourth Proportional to 3,134.87, 4,702.55 and 943.78

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Solution

The fourth proportional to 3,134.87, 4,702.55 and 943.78 is: 1,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.87 : 4,702.55 = 943.78 : x
  2. Step 2: Convert to fraction form
    3,134.87/4,702.55 = 943.78/x
  3. Step 3: Cross multiply
    3,134.87x = 4,702.55 × 943.78
  4. Step 4: Simplify right side
    3,134.87x = 4,438,172.64
  5. Step 5: Solve for x
    x = 4,438,172.64/3,134.87
  6. Step 6: Final answer
    x = 1,415.74

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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.