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Finding the Fourth Proportional to 2,282.33, 3,423.45 and 638.84

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Solution

The fourth proportional to 2,282.33, 3,423.45 and 638.84 is: 958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.33 : 3,423.45 = 638.84 : x
  2. Step 2: Convert to fraction form
    2,282.33/3,423.45 = 638.84/x
  3. Step 3: Cross multiply
    2,282.33x = 3,423.45 × 638.84
  4. Step 4: Simplify right side
    2,282.33x = 2,187,045.36
  5. Step 5: Solve for x
    x = 2,187,045.36/2,282.33
  6. Step 6: Final answer
    x = 958.25

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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.