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Finding the Fourth Proportional to 2,398.08, 3,302.72 and 2,241.92

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Solution

The fourth proportional to 2,398.08, 3,302.72 and 2,241.92 is: 3,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.08 : 3,302.72 = 2,241.92 : x
  2. Step 2: Convert to fraction form
    2,398.08/3,302.72 = 2,241.92/x
  3. Step 3: Cross multiply
    2,398.08x = 3,302.72 × 2,241.92
  4. Step 4: Simplify right side
    2,398.08x = 7,404,434.02
  5. Step 5: Solve for x
    x = 7,404,434.02/2,398.08
  6. Step 6: Final answer
    x = 3,087.65

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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.