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Finding the Fourth Proportional to 1,542.86, 2,129.14 and 834.70

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Solution

The fourth proportional to 1,542.86, 2,129.14 and 834.70 is: 1,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.86 : 2,129.14 = 834.70 : x
  2. Step 2: Convert to fraction form
    1,542.86/2,129.14 = 834.70/x
  3. Step 3: Cross multiply
    1,542.86x = 2,129.14 × 834.70
  4. Step 4: Simplify right side
    1,542.86x = 1,777,188.98
  5. Step 5: Solve for x
    x = 1,777,188.98/1,542.86
  6. Step 6: Final answer
    x = 1,151.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.