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Finding the Fourth Proportional to 1,909.70, 2,865.23 and 1,842.20

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Solution

The fourth proportional to 1,909.70, 2,865.23 and 1,842.20 is: 2,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.70 : 2,865.23 = 1,842.20 : x
  2. Step 2: Convert to fraction form
    1,909.70/2,865.23 = 1,842.20/x
  3. Step 3: Cross multiply
    1,909.70x = 2,865.23 × 1,842.20
  4. Step 4: Simplify right side
    1,909.70x = 5,278,326.71
  5. Step 5: Solve for x
    x = 5,278,326.71/1,909.70
  6. Step 6: Final answer
    x = 2,763.96

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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.