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Finding the Fourth Proportional to 2,719.62, 3,724.96 and 2,560.04

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Solution

The fourth proportional to 2,719.62, 3,724.96 and 2,560.04 is: 3,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.62 : 3,724.96 = 2,560.04 : x
  2. Step 2: Convert to fraction form
    2,719.62/3,724.96 = 2,560.04/x
  3. Step 3: Cross multiply
    2,719.62x = 3,724.96 × 2,560.04
  4. Step 4: Simplify right side
    2,719.62x = 9,536,046.60
  5. Step 5: Solve for x
    x = 9,536,046.60/2,719.62
  6. Step 6: Final answer
    x = 3,506.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.