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Finding the Fourth Proportional to 2,867.80, 4,301.70 and 2,819.20

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Solution

The fourth proportional to 2,867.80, 4,301.70 and 2,819.20 is: 4,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.80 : 4,301.70 = 2,819.20 : x
  2. Step 2: Convert to fraction form
    2,867.80/4,301.70 = 2,819.20/x
  3. Step 3: Cross multiply
    2,867.80x = 4,301.70 × 2,819.20
  4. Step 4: Simplify right side
    2,867.80x = 12,127,352.64
  5. Step 5: Solve for x
    x = 12,127,352.64/2,867.80
  6. Step 6: Final answer
    x = 4,228.80

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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.