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Finding the Fourth Proportional to 3,239.46, 4,470.28 and 1,823.17

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Solution

The fourth proportional to 3,239.46, 4,470.28 and 1,823.17 is: 2,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.46 : 4,470.28 = 1,823.17 : x
  2. Step 2: Convert to fraction form
    3,239.46/4,470.28 = 1,823.17/x
  3. Step 3: Cross multiply
    3,239.46x = 4,470.28 × 1,823.17
  4. Step 4: Simplify right side
    3,239.46x = 8,150,080.39
  5. Step 5: Solve for x
    x = 8,150,080.39/3,239.46
  6. Step 6: Final answer
    x = 2,515.88

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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.