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Finding the Fourth Proportional to 2,671.57, 4,001.50 and 2,204.08

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Solution

The fourth proportional to 2,671.57, 4,001.50 and 2,204.08 is: 3,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.57 : 4,001.50 = 2,204.08 : x
  2. Step 2: Convert to fraction form
    2,671.57/4,001.50 = 2,204.08/x
  3. Step 3: Cross multiply
    2,671.57x = 4,001.50 × 2,204.08
  4. Step 4: Simplify right side
    2,671.57x = 8,819,626.12
  5. Step 5: Solve for x
    x = 8,819,626.12/2,671.57
  6. Step 6: Final answer
    x = 3,301.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.