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Finding the Fourth Proportional to 2,282.35, 3,423.46 and 638.89

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Solution

The fourth proportional to 2,282.35, 3,423.46 and 638.89 is: 958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.35 : 3,423.46 = 638.89 : x
  2. Step 2: Convert to fraction form
    2,282.35/3,423.46 = 638.89/x
  3. Step 3: Cross multiply
    2,282.35x = 3,423.46 × 638.89
  4. Step 4: Simplify right side
    2,282.35x = 2,187,214.36
  5. Step 5: Solve for x
    x = 2,187,214.36/2,282.35
  6. Step 6: Final answer
    x = 958.32

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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.