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Finding the Fourth Proportional to 3,162.78, 4,366.12 and 1,836.23

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Solution

The fourth proportional to 3,162.78, 4,366.12 and 1,836.23 is: 2,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.78 : 4,366.12 = 1,836.23 : x
  2. Step 2: Convert to fraction form
    3,162.78/4,366.12 = 1,836.23/x
  3. Step 3: Cross multiply
    3,162.78x = 4,366.12 × 1,836.23
  4. Step 4: Simplify right side
    3,162.78x = 8,017,200.53
  5. Step 5: Solve for x
    x = 8,017,200.53/3,162.78
  6. Step 6: Final answer
    x = 2,534.86

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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.