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Finding the Fourth Proportional to 2,253.90, 3,380.73 and 714.78

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Solution

The fourth proportional to 2,253.90, 3,380.73 and 714.78 is: 1,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.90 : 3,380.73 = 714.78 : x
  2. Step 2: Convert to fraction form
    2,253.90/3,380.73 = 714.78/x
  3. Step 3: Cross multiply
    2,253.90x = 3,380.73 × 714.78
  4. Step 4: Simplify right side
    2,253.90x = 2,416,478.19
  5. Step 5: Solve for x
    x = 2,416,478.19/2,253.90
  6. Step 6: Final answer
    x = 1,072.13

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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.