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Finding the Fourth Proportional to 2,281.97, 3,423.47 and 821.13

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Solution

The fourth proportional to 2,281.97, 3,423.47 and 821.13 is: 1,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.97 : 3,423.47 = 821.13 : x
  2. Step 2: Convert to fraction form
    2,281.97/3,423.47 = 821.13/x
  3. Step 3: Cross multiply
    2,281.97x = 3,423.47 × 821.13
  4. Step 4: Simplify right side
    2,281.97x = 2,811,113.92
  5. Step 5: Solve for x
    x = 2,811,113.92/2,281.97
  6. Step 6: Final answer
    x = 1,231.88

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1.5x scale

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.