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Finding the Fourth Proportional to 2,412.64, 3,352.45 and 2,402.92

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Solution

The fourth proportional to 2,412.64, 3,352.45 and 2,402.92 is: 3,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.64 : 3,352.45 = 2,402.92 : x
  2. Step 2: Convert to fraction form
    2,412.64/3,352.45 = 2,402.92/x
  3. Step 3: Cross multiply
    2,412.64x = 3,352.45 × 2,402.92
  4. Step 4: Simplify right side
    2,412.64x = 8,055,669.15
  5. Step 5: Solve for x
    x = 8,055,669.15/2,412.64
  6. Step 6: Final answer
    x = 3,338.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.