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Finding the Fourth Proportional to 3,239.48, 4,470.44 and 1,823.42

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Solution

The fourth proportional to 3,239.48, 4,470.44 and 1,823.42 is: 2,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.48 : 4,470.44 = 1,823.42 : x
  2. Step 2: Convert to fraction form
    3,239.48/4,470.44 = 1,823.42/x
  3. Step 3: Cross multiply
    3,239.48x = 4,470.44 × 1,823.42
  4. Step 4: Simplify right side
    3,239.48x = 8,151,489.70
  5. Step 5: Solve for x
    x = 8,151,489.70/3,239.48
  6. Step 6: Final answer
    x = 2,516.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.