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Finding the Fourth Proportional to 2,453.68, 3,387.48 and 1,616.82

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Solution

The fourth proportional to 2,453.68, 3,387.48 and 1,616.82 is: 2,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.68 : 3,387.48 = 1,616.82 : x
  2. Step 2: Convert to fraction form
    2,453.68/3,387.48 = 1,616.82/x
  3. Step 3: Cross multiply
    2,453.68x = 3,387.48 × 1,616.82
  4. Step 4: Simplify right side
    2,453.68x = 5,476,945.41
  5. Step 5: Solve for x
    x = 5,476,945.41/2,453.68
  6. Step 6: Final answer
    x = 2,232.14

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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.