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Finding the Fourth Proportional to 2,281.71, 3,422.43 and 820.47

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Solution

The fourth proportional to 2,281.71, 3,422.43 and 820.47 is: 1,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.71 : 3,422.43 = 820.47 : x
  2. Step 2: Convert to fraction form
    2,281.71/3,422.43 = 820.47/x
  3. Step 3: Cross multiply
    2,281.71x = 3,422.43 × 820.47
  4. Step 4: Simplify right side
    2,281.71x = 2,808,001.14
  5. Step 5: Solve for x
    x = 2,808,001.14/2,281.71
  6. Step 6: Final answer
    x = 1,230.66

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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.