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Finding the Fourth Proportional to 2,282.36, 3,423.72 and 638.94

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Solution

The fourth proportional to 2,282.36, 3,423.72 and 638.94 is: 958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.36 : 3,423.72 = 638.94 : x
  2. Step 2: Convert to fraction form
    2,282.36/3,423.72 = 638.94/x
  3. Step 3: Cross multiply
    2,282.36x = 3,423.72 × 638.94
  4. Step 4: Simplify right side
    2,282.36x = 2,187,551.66
  5. Step 5: Solve for x
    x = 2,187,551.66/2,282.36
  6. Step 6: Final answer
    x = 958.46

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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.