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Finding the Fourth Proportional to 2,543.96, 3,512.06 and 1,747.74

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Solution

The fourth proportional to 2,543.96, 3,512.06 and 1,747.74 is: 2,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.96 : 3,512.06 = 1,747.74 : x
  2. Step 2: Convert to fraction form
    2,543.96/3,512.06 = 1,747.74/x
  3. Step 3: Cross multiply
    2,543.96x = 3,512.06 × 1,747.74
  4. Step 4: Simplify right side
    2,543.96x = 6,138,178.73
  5. Step 5: Solve for x
    x = 6,138,178.73/2,543.96
  6. Step 6: Final answer
    x = 2,412.85

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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.