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Finding the Fourth Proportional to 1,849.96, 2,761.97 and 1,525.96

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Solution

The fourth proportional to 1,849.96, 2,761.97 and 1,525.96 is: 2,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.96 : 2,761.97 = 1,525.96 : x
  2. Step 2: Convert to fraction form
    1,849.96/2,761.97 = 1,525.96/x
  3. Step 3: Cross multiply
    1,849.96x = 2,761.97 × 1,525.96
  4. Step 4: Simplify right side
    1,849.96x = 4,214,655.74
  5. Step 5: Solve for x
    x = 4,214,655.74/1,849.96
  6. Step 6: Final answer
    x = 2,278.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.