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Finding the Fourth Proportional to 2,304.16, 3,456.80 and 843.20

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Solution

The fourth proportional to 2,304.16, 3,456.80 and 843.20 is: 1,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.16 : 3,456.80 = 843.20 : x
  2. Step 2: Convert to fraction form
    2,304.16/3,456.80 = 843.20/x
  3. Step 3: Cross multiply
    2,304.16x = 3,456.80 × 843.20
  4. Step 4: Simplify right side
    2,304.16x = 2,914,773.76
  5. Step 5: Solve for x
    x = 2,914,773.76/2,304.16
  6. Step 6: Final answer
    x = 1,265.00

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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.