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Finding the Fourth Proportional to 2,073.20, 3,109.86 and 686.48

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Solution

The fourth proportional to 2,073.20, 3,109.86 and 686.48 is: 1,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.20 : 3,109.86 = 686.48 : x
  2. Step 2: Convert to fraction form
    2,073.20/3,109.86 = 686.48/x
  3. Step 3: Cross multiply
    2,073.20x = 3,109.86 × 686.48
  4. Step 4: Simplify right side
    2,073.20x = 2,134,841.14
  5. Step 5: Solve for x
    x = 2,134,841.14/2,073.20
  6. Step 6: Final answer
    x = 1,029.73

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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.