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Finding the Fourth Proportional to 3,159.31, 4,740.68 and 1,311.70

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Solution

The fourth proportional to 3,159.31, 4,740.68 and 1,311.70 is: 1,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.31 : 4,740.68 = 1,311.70 : x
  2. Step 2: Convert to fraction form
    3,159.31/4,740.68 = 1,311.70/x
  3. Step 3: Cross multiply
    3,159.31x = 4,740.68 × 1,311.70
  4. Step 4: Simplify right side
    3,159.31x = 6,218,331.55
  5. Step 5: Solve for x
    x = 6,218,331.55/3,159.31
  6. Step 6: Final answer
    x = 1,968.26

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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.