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Finding the Fourth Proportional to 2,447.80, 3,671.70 and 2,174.20

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Solution

The fourth proportional to 2,447.80, 3,671.70 and 2,174.20 is: 3,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.80 : 3,671.70 = 2,174.20 : x
  2. Step 2: Convert to fraction form
    2,447.80/3,671.70 = 2,174.20/x
  3. Step 3: Cross multiply
    2,447.80x = 3,671.70 × 2,174.20
  4. Step 4: Simplify right side
    2,447.80x = 7,983,010.14
  5. Step 5: Solve for x
    x = 7,983,010.14/2,447.80
  6. Step 6: Final answer
    x = 3,261.30

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1.5x scale

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.