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Finding the Fourth Proportional to 2,468.92, 3,421.85 and 2,422.84

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Solution

The fourth proportional to 2,468.92, 3,421.85 and 2,422.84 is: 3,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.92 : 3,421.85 = 2,422.84 : x
  2. Step 2: Convert to fraction form
    2,468.92/3,421.85 = 2,422.84/x
  3. Step 3: Cross multiply
    2,468.92x = 3,421.85 × 2,422.84
  4. Step 4: Simplify right side
    2,468.92x = 8,290,595.05
  5. Step 5: Solve for x
    x = 8,290,595.05/2,468.92
  6. Step 6: Final answer
    x = 3,357.98

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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.