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Finding the Fourth Proportional to 2,304.40, 3,456.95 and 843.21

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Solution

The fourth proportional to 2,304.40, 3,456.95 and 843.21 is: 1,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.40 : 3,456.95 = 843.21 : x
  2. Step 2: Convert to fraction form
    2,304.40/3,456.95 = 843.21/x
  3. Step 3: Cross multiply
    2,304.40x = 3,456.95 × 843.21
  4. Step 4: Simplify right side
    2,304.40x = 2,914,934.81
  5. Step 5: Solve for x
    x = 2,914,934.81/2,304.40
  6. Step 6: Final answer
    x = 1,264.94

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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.