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Finding the Fourth Proportional to 2,469.35, 3,403.11 and 2,024.66

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Solution

The fourth proportional to 2,469.35, 3,403.11 and 2,024.66 is: 2,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.35 : 3,403.11 = 2,024.66 : x
  2. Step 2: Convert to fraction form
    2,469.35/3,403.11 = 2,024.66/x
  3. Step 3: Cross multiply
    2,469.35x = 3,403.11 × 2,024.66
  4. Step 4: Simplify right side
    2,469.35x = 6,890,156.79
  5. Step 5: Solve for x
    x = 6,890,156.79/2,469.35
  6. Step 6: Final answer
    x = 2,790.27

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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.