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Finding the Fourth Proportional to 2,153.46, 3,229.80 and 747.89

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Solution

The fourth proportional to 2,153.46, 3,229.80 and 747.89 is: 1,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.46 : 3,229.80 = 747.89 : x
  2. Step 2: Convert to fraction form
    2,153.46/3,229.80 = 747.89/x
  3. Step 3: Cross multiply
    2,153.46x = 3,229.80 × 747.89
  4. Step 4: Simplify right side
    2,153.46x = 2,415,535.12
  5. Step 5: Solve for x
    x = 2,415,535.12/2,153.46
  6. Step 6: Final answer
    x = 1,121.70

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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.