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Finding the Fourth Proportional to 2,553.68, 3,853.48 and 2,462.16

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Solution

The fourth proportional to 2,553.68, 3,853.48 and 2,462.16 is: 3,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.68 : 3,853.48 = 2,462.16 : x
  2. Step 2: Convert to fraction form
    2,553.68/3,853.48 = 2,462.16/x
  3. Step 3: Cross multiply
    2,553.68x = 3,853.48 × 2,462.16
  4. Step 4: Simplify right side
    2,553.68x = 9,487,884.32
  5. Step 5: Solve for x
    x = 9,487,884.32/2,553.68
  6. Step 6: Final answer
    x = 3,715.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.