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Finding the Fourth Proportional to 3,257.04, 4,493.10 and 2,138.04

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Solution

The fourth proportional to 3,257.04, 4,493.10 and 2,138.04 is: 2,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.04 : 4,493.10 = 2,138.04 : x
  2. Step 2: Convert to fraction form
    3,257.04/4,493.10 = 2,138.04/x
  3. Step 3: Cross multiply
    3,257.04x = 4,493.10 × 2,138.04
  4. Step 4: Simplify right side
    3,257.04x = 9,606,427.52
  5. Step 5: Solve for x
    x = 9,606,427.52/3,257.04
  6. Step 6: Final answer
    x = 2,949.43

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1.5x scale

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.