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Finding the Fourth Proportional to 1,851, 2,770.22 and 1,543.38

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Solution

The fourth proportional to 1,851, 2,770.22 and 1,543.38 is: 2,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851 : 2,770.22 = 1,543.38 : x
  2. Step 2: Convert to fraction form
    1,851/2,770.22 = 1,543.38/x
  3. Step 3: Cross multiply
    1,851x = 2,770.22 × 1,543.38
  4. Step 4: Simplify right side
    1,851x = 4,275,502.14
  5. Step 5: Solve for x
    x = 4,275,502.14/1,851
  6. Step 6: Final answer
    x = 2,309.83

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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.