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Finding the Fourth Proportional to 3,134.90, 4,702.39 and 1,284.73

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Solution

The fourth proportional to 3,134.90, 4,702.39 and 1,284.73 is: 1,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.90 : 4,702.39 = 1,284.73 : x
  2. Step 2: Convert to fraction form
    3,134.90/4,702.39 = 1,284.73/x
  3. Step 3: Cross multiply
    3,134.90x = 4,702.39 × 1,284.73
  4. Step 4: Simplify right side
    3,134.90x = 6,041,286.54
  5. Step 5: Solve for x
    x = 6,041,286.54/3,134.90
  6. Step 6: Final answer
    x = 1,927.11

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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.