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Finding the Fourth Proportional to 3,454.50, 5,182.24 and 1,262.70

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Solution

The fourth proportional to 3,454.50, 5,182.24 and 1,262.70 is: 1,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.50 : 5,182.24 = 1,262.70 : x
  2. Step 2: Convert to fraction form
    3,454.50/5,182.24 = 1,262.70/x
  3. Step 3: Cross multiply
    3,454.50x = 5,182.24 × 1,262.70
  4. Step 4: Simplify right side
    3,454.50x = 6,543,614.45
  5. Step 5: Solve for x
    x = 6,543,614.45/3,454.50
  6. Step 6: Final answer
    x = 1,894.23

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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.