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Finding the Fourth Proportional to 2,239.42, 3,358.35 and 922.80

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Solution

The fourth proportional to 2,239.42, 3,358.35 and 922.80 is: 1,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.42 : 3,358.35 = 922.80 : x
  2. Step 2: Convert to fraction form
    2,239.42/3,358.35 = 922.80/x
  3. Step 3: Cross multiply
    2,239.42x = 3,358.35 × 922.80
  4. Step 4: Simplify right side
    2,239.42x = 3,099,085.38
  5. Step 5: Solve for x
    x = 3,099,085.38/2,239.42
  6. Step 6: Final answer
    x = 1,383.88

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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.