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Finding the Fourth Proportional to 2,740.80, 4,116.15 and 2,400.60

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Solution

The fourth proportional to 2,740.80, 4,116.15 and 2,400.60 is: 3,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.80 : 4,116.15 = 2,400.60 : x
  2. Step 2: Convert to fraction form
    2,740.80/4,116.15 = 2,400.60/x
  3. Step 3: Cross multiply
    2,740.80x = 4,116.15 × 2,400.60
  4. Step 4: Simplify right side
    2,740.80x = 9,881,229.69
  5. Step 5: Solve for x
    x = 9,881,229.69/2,740.80
  6. Step 6: Final answer
    x = 3,605.24

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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.