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Finding the Fourth Proportional to 3,107.30, 4,656.90 and 1,256.90

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Solution

The fourth proportional to 3,107.30, 4,656.90 and 1,256.90 is: 1,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.30 : 4,656.90 = 1,256.90 : x
  2. Step 2: Convert to fraction form
    3,107.30/4,656.90 = 1,256.90/x
  3. Step 3: Cross multiply
    3,107.30x = 4,656.90 × 1,256.90
  4. Step 4: Simplify right side
    3,107.30x = 5,853,257.61
  5. Step 5: Solve for x
    x = 5,853,257.61/3,107.30
  6. Step 6: Final answer
    x = 1,883.71

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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.