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Finding the Fourth Proportional to 2,780.46, 4,170.90 and 832.50

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Solution

The fourth proportional to 2,780.46, 4,170.90 and 832.50 is: 1,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.46 : 4,170.90 = 832.50 : x
  2. Step 2: Convert to fraction form
    2,780.46/4,170.90 = 832.50/x
  3. Step 3: Cross multiply
    2,780.46x = 4,170.90 × 832.50
  4. Step 4: Simplify right side
    2,780.46x = 3,472,274.25
  5. Step 5: Solve for x
    x = 3,472,274.25/2,780.46
  6. Step 6: Final answer
    x = 1,248.81

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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.