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Finding the Fourth Proportional to 2,453.59, 3,671.21 and 1,462.78

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Solution

The fourth proportional to 2,453.59, 3,671.21 and 1,462.78 is: 2,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.59 : 3,671.21 = 1,462.78 : x
  2. Step 2: Convert to fraction form
    2,453.59/3,671.21 = 1,462.78/x
  3. Step 3: Cross multiply
    2,453.59x = 3,671.21 × 1,462.78
  4. Step 4: Simplify right side
    2,453.59x = 5,370,165.25
  5. Step 5: Solve for x
    x = 5,370,165.25/2,453.59
  6. Step 6: Final answer
    x = 2,188.70

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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.