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Finding the Fourth Proportional to 2,780.43, 4,170.66 and 832.65

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Solution

The fourth proportional to 2,780.43, 4,170.66 and 832.65 is: 1,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.43 : 4,170.66 = 832.65 : x
  2. Step 2: Convert to fraction form
    2,780.43/4,170.66 = 832.65/x
  3. Step 3: Cross multiply
    2,780.43x = 4,170.66 × 832.65
  4. Step 4: Simplify right side
    2,780.43x = 3,472,700.05
  5. Step 5: Solve for x
    x = 3,472,700.05/2,780.43
  6. Step 6: Final answer
    x = 1,248.98

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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.