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Finding the Fourth Proportional to 2,282.06, 3,423.31 and 638.61

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Solution

The fourth proportional to 2,282.06, 3,423.31 and 638.61 is: 957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.06 : 3,423.31 = 638.61 : x
  2. Step 2: Convert to fraction form
    2,282.06/3,423.31 = 638.61/x
  3. Step 3: Cross multiply
    2,282.06x = 3,423.31 × 638.61
  4. Step 4: Simplify right side
    2,282.06x = 2,186,160.00
  5. Step 5: Solve for x
    x = 2,186,160.00/2,282.06
  6. Step 6: Final answer
    x = 957.98

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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.