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Finding the Fourth Proportional to 2,811.35, 3,872.13 and 2,438.35

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Solution

The fourth proportional to 2,811.35, 3,872.13 and 2,438.35 is: 3,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.35 : 3,872.13 = 2,438.35 : x
  2. Step 2: Convert to fraction form
    2,811.35/3,872.13 = 2,438.35/x
  3. Step 3: Cross multiply
    2,811.35x = 3,872.13 × 2,438.35
  4. Step 4: Simplify right side
    2,811.35x = 9,441,608.19
  5. Step 5: Solve for x
    x = 9,441,608.19/2,811.35
  6. Step 6: Final answer
    x = 3,358.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.