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Finding the Fourth Proportional to 2,854.70, 4,286.10 and 1,761.20

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Solution

The fourth proportional to 2,854.70, 4,286.10 and 1,761.20 is: 2,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.70 : 4,286.10 = 1,761.20 : x
  2. Step 2: Convert to fraction form
    2,854.70/4,286.10 = 1,761.20/x
  3. Step 3: Cross multiply
    2,854.70x = 4,286.10 × 1,761.20
  4. Step 4: Simplify right side
    2,854.70x = 7,548,679.32
  5. Step 5: Solve for x
    x = 7,548,679.32/2,854.70
  6. Step 6: Final answer
    x = 2,644.30

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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.