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Finding the Fourth Proportional to 2,108.71, 3,163.20 and 876.22

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Solution

The fourth proportional to 2,108.71, 3,163.20 and 876.22 is: 1,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.71 : 3,163.20 = 876.22 : x
  2. Step 2: Convert to fraction form
    2,108.71/3,163.20 = 876.22/x
  3. Step 3: Cross multiply
    2,108.71x = 3,163.20 × 876.22
  4. Step 4: Simplify right side
    2,108.71x = 2,771,651.20
  5. Step 5: Solve for x
    x = 2,771,651.20/2,108.71
  6. Step 6: Final answer
    x = 1,314.38

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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.