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Finding the Fourth Proportional to 2,469.48, 3,402.99 and 2,438.82

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Solution

The fourth proportional to 2,469.48, 3,402.99 and 2,438.82 is: 3,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.48 : 3,402.99 = 2,438.82 : x
  2. Step 2: Convert to fraction form
    2,469.48/3,402.99 = 2,438.82/x
  3. Step 3: Cross multiply
    2,469.48x = 3,402.99 × 2,438.82
  4. Step 4: Simplify right side
    2,469.48x = 8,299,280.07
  5. Step 5: Solve for x
    x = 8,299,280.07/2,469.48
  6. Step 6: Final answer
    x = 3,360.74

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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.