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Finding the Fourth Proportional to 2,453.72, 3,671.36 and 1,462.88

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Solution

The fourth proportional to 2,453.72, 3,671.36 and 1,462.88 is: 2,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.72 : 3,671.36 = 1,462.88 : x
  2. Step 2: Convert to fraction form
    2,453.72/3,671.36 = 1,462.88/x
  3. Step 3: Cross multiply
    2,453.72x = 3,671.36 × 1,462.88
  4. Step 4: Simplify right side
    2,453.72x = 5,370,759.12
  5. Step 5: Solve for x
    x = 5,370,759.12/2,453.72
  6. Step 6: Final answer
    x = 2,188.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.