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Finding the Fourth Proportional to 1,248.72, 1,862.36 and 1,183.11

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Solution

The fourth proportional to 1,248.72, 1,862.36 and 1,183.11 is: 1,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.72 : 1,862.36 = 1,183.11 : x
  2. Step 2: Convert to fraction form
    1,248.72/1,862.36 = 1,183.11/x
  3. Step 3: Cross multiply
    1,248.72x = 1,862.36 × 1,183.11
  4. Step 4: Simplify right side
    1,248.72x = 2,203,370.82
  5. Step 5: Solve for x
    x = 2,203,370.82/1,248.72
  6. Step 6: Final answer
    x = 1,764.50

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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.