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Finding the Fourth Proportional to 2,708.40, 4,057.74 and 2,562.60

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Solution

The fourth proportional to 2,708.40, 4,057.74 and 2,562.60 is: 3,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.40 : 4,057.74 = 2,562.60 : x
  2. Step 2: Convert to fraction form
    2,708.40/4,057.74 = 2,562.60/x
  3. Step 3: Cross multiply
    2,708.40x = 4,057.74 × 2,562.60
  4. Step 4: Simplify right side
    2,708.40x = 10,398,364.52
  5. Step 5: Solve for x
    x = 10,398,364.52/2,708.40
  6. Step 6: Final answer
    x = 3,839.30

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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.