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Finding the Fourth Proportional to 2,134.68, 3,197.88 and 1,310.52

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Solution

The fourth proportional to 2,134.68, 3,197.88 and 1,310.52 is: 1,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.68 : 3,197.88 = 1,310.52 : x
  2. Step 2: Convert to fraction form
    2,134.68/3,197.88 = 1,310.52/x
  3. Step 3: Cross multiply
    2,134.68x = 3,197.88 × 1,310.52
  4. Step 4: Simplify right side
    2,134.68x = 4,190,885.70
  5. Step 5: Solve for x
    x = 4,190,885.70/2,134.68
  6. Step 6: Final answer
    x = 1,963.24

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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.