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Finding the Fourth Proportional to 2,505.26, 3,739.38 and 2,209.78

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Solution

The fourth proportional to 2,505.26, 3,739.38 and 2,209.78 is: 3,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.26 : 3,739.38 = 2,209.78 : x
  2. Step 2: Convert to fraction form
    2,505.26/3,739.38 = 2,209.78/x
  3. Step 3: Cross multiply
    2,505.26x = 3,739.38 × 2,209.78
  4. Step 4: Simplify right side
    2,505.26x = 8,263,220.10
  5. Step 5: Solve for x
    x = 8,263,220.10/2,505.26
  6. Step 6: Final answer
    x = 3,298.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.