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Finding the Fourth Proportional to 2,744.54, 4,113.16 and 2,377.62

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Solution

The fourth proportional to 2,744.54, 4,113.16 and 2,377.62 is: 3,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.54 : 4,113.16 = 2,377.62 : x
  2. Step 2: Convert to fraction form
    2,744.54/4,113.16 = 2,377.62/x
  3. Step 3: Cross multiply
    2,744.54x = 4,113.16 × 2,377.62
  4. Step 4: Simplify right side
    2,744.54x = 9,779,531.48
  5. Step 5: Solve for x
    x = 9,779,531.48/2,744.54
  6. Step 6: Final answer
    x = 3,563.27

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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.