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Finding the Fourth Proportional to 2,170.71, 3,251.71 and 999.11

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Solution

The fourth proportional to 2,170.71, 3,251.71 and 999.11 is: 1,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.71 : 3,251.71 = 999.11 : x
  2. Step 2: Convert to fraction form
    2,170.71/3,251.71 = 999.11/x
  3. Step 3: Cross multiply
    2,170.71x = 3,251.71 × 999.11
  4. Step 4: Simplify right side
    2,170.71x = 3,248,800.97
  5. Step 5: Solve for x
    x = 3,248,800.97/2,170.71
  6. Step 6: Final answer
    x = 1,496.66

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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.