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Finding the Fourth Proportional to 1,849.72, 2,552.97 and 1,187.41

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Solution

The fourth proportional to 1,849.72, 2,552.97 and 1,187.41 is: 1,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.72 : 2,552.97 = 1,187.41 : x
  2. Step 2: Convert to fraction form
    1,849.72/2,552.97 = 1,187.41/x
  3. Step 3: Cross multiply
    1,849.72x = 2,552.97 × 1,187.41
  4. Step 4: Simplify right side
    1,849.72x = 3,031,422.11
  5. Step 5: Solve for x
    x = 3,031,422.11/1,849.72
  6. Step 6: Final answer
    x = 1,638.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.