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Finding the Fourth Proportional to 2,744.70, 4,113.46 and 2,397.21

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Solution

The fourth proportional to 2,744.70, 4,113.46 and 2,397.21 is: 3,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.70 : 4,113.46 = 2,397.21 : x
  2. Step 2: Convert to fraction form
    2,744.70/4,113.46 = 2,397.21/x
  3. Step 3: Cross multiply
    2,744.70x = 4,113.46 × 2,397.21
  4. Step 4: Simplify right side
    2,744.70x = 9,860,827.45
  5. Step 5: Solve for x
    x = 9,860,827.45/2,744.70
  6. Step 6: Final answer
    x = 3,592.68

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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.