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Finding the Fourth Proportional to 3,472.97, 5,211.17 and 1,830.69

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Solution

The fourth proportional to 3,472.97, 5,211.17 and 1,830.69 is: 2,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.97 : 5,211.17 = 1,830.69 : x
  2. Step 2: Convert to fraction form
    3,472.97/5,211.17 = 1,830.69/x
  3. Step 3: Cross multiply
    3,472.97x = 5,211.17 × 1,830.69
  4. Step 4: Simplify right side
    3,472.97x = 9,540,027.65
  5. Step 5: Solve for x
    x = 9,540,027.65/3,472.97
  6. Step 6: Final answer
    x = 2,746.94

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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.