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Finding the Fourth Proportional to 2,321.76, 3,479.52 and 1,453.44

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Solution

The fourth proportional to 2,321.76, 3,479.52 and 1,453.44 is: 2,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.76 : 3,479.52 = 1,453.44 : x
  2. Step 2: Convert to fraction form
    2,321.76/3,479.52 = 1,453.44/x
  3. Step 3: Cross multiply
    2,321.76x = 3,479.52 × 1,453.44
  4. Step 4: Simplify right side
    2,321.76x = 5,057,273.55
  5. Step 5: Solve for x
    x = 5,057,273.55/2,321.76
  6. Step 6: Final answer
    x = 2,178.21

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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.