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Finding the Fourth Proportional to 2,282.18, 3,423.36 and 638.88

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Solution

The fourth proportional to 2,282.18, 3,423.36 and 638.88 is: 958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.18 : 3,423.36 = 638.88 : x
  2. Step 2: Convert to fraction form
    2,282.18/3,423.36 = 638.88/x
  3. Step 3: Cross multiply
    2,282.18x = 3,423.36 × 638.88
  4. Step 4: Simplify right side
    2,282.18x = 2,187,116.24
  5. Step 5: Solve for x
    x = 2,187,116.24/2,282.18
  6. Step 6: Final answer
    x = 958.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.