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Finding the Fourth Proportional to 2,253.76, 3,380.62 and 714.76

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Solution

The fourth proportional to 2,253.76, 3,380.62 and 714.76 is: 1,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.76 : 3,380.62 = 714.76 : x
  2. Step 2: Convert to fraction form
    2,253.76/3,380.62 = 714.76/x
  3. Step 3: Cross multiply
    2,253.76x = 3,380.62 × 714.76
  4. Step 4: Simplify right side
    2,253.76x = 2,416,331.95
  5. Step 5: Solve for x
    x = 2,416,331.95/2,253.76
  6. Step 6: Final answer
    x = 1,072.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.