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Finding the Fourth Proportional to 2,505.20, 3,454.23 and 2,007.44

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Solution

The fourth proportional to 2,505.20, 3,454.23 and 2,007.44 is: 2,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.20 : 3,454.23 = 2,007.44 : x
  2. Step 2: Convert to fraction form
    2,505.20/3,454.23 = 2,007.44/x
  3. Step 3: Cross multiply
    2,505.20x = 3,454.23 × 2,007.44
  4. Step 4: Simplify right side
    2,505.20x = 6,934,159.47
  5. Step 5: Solve for x
    x = 6,934,159.47/2,505.20
  6. Step 6: Final answer
    x = 2,767.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.