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Finding the Fourth Proportional to 2,755.50, 4,132.44 and 807.24

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Solution

The fourth proportional to 2,755.50, 4,132.44 and 807.24 is: 1,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.50 : 4,132.44 = 807.24 : x
  2. Step 2: Convert to fraction form
    2,755.50/4,132.44 = 807.24/x
  3. Step 3: Cross multiply
    2,755.50x = 4,132.44 × 807.24
  4. Step 4: Simplify right side
    2,755.50x = 3,335,870.87
  5. Step 5: Solve for x
    x = 3,335,870.87/2,755.50
  6. Step 6: Final answer
    x = 1,210.62

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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.