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Finding the Fourth Proportional to 1,849.27, 2,773.14 and 752.89

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Solution

The fourth proportional to 1,849.27, 2,773.14 and 752.89 is: 1,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.27 : 2,773.14 = 752.89 : x
  2. Step 2: Convert to fraction form
    1,849.27/2,773.14 = 752.89/x
  3. Step 3: Cross multiply
    1,849.27x = 2,773.14 × 752.89
  4. Step 4: Simplify right side
    1,849.27x = 2,087,869.37
  5. Step 5: Solve for x
    x = 2,087,869.37/1,849.27
  6. Step 6: Final answer
    x = 1,129.02

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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.