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Finding the Fourth Proportional to 3,171.84, 4,765.12 and 1,874.24

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Solution

The fourth proportional to 3,171.84, 4,765.12 and 1,874.24 is: 2,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.84 : 4,765.12 = 1,874.24 : x
  2. Step 2: Convert to fraction form
    3,171.84/4,765.12 = 1,874.24/x
  3. Step 3: Cross multiply
    3,171.84x = 4,765.12 × 1,874.24
  4. Step 4: Simplify right side
    3,171.84x = 8,930,978.51
  5. Step 5: Solve for x
    x = 8,930,978.51/3,171.84
  6. Step 6: Final answer
    x = 2,815.71

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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.