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Finding the Fourth Proportional to 2,780.50, 4,170.03 and 832.18

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Solution

The fourth proportional to 2,780.50, 4,170.03 and 832.18 is: 1,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.50 : 4,170.03 = 832.18 : x
  2. Step 2: Convert to fraction form
    2,780.50/4,170.03 = 832.18/x
  3. Step 3: Cross multiply
    2,780.50x = 4,170.03 × 832.18
  4. Step 4: Simplify right side
    2,780.50x = 3,470,215.57
  5. Step 5: Solve for x
    x = 3,470,215.57/2,780.50
  6. Step 6: Final answer
    x = 1,248.05

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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.