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Finding the Fourth Proportional to 1,239.81, 1,853.04 and 1,082.39

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Solution

The fourth proportional to 1,239.81, 1,853.04 and 1,082.39 is: 1,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.81 : 1,853.04 = 1,082.39 : x
  2. Step 2: Convert to fraction form
    1,239.81/1,853.04 = 1,082.39/x
  3. Step 3: Cross multiply
    1,239.81x = 1,853.04 × 1,082.39
  4. Step 4: Simplify right side
    1,239.81x = 2,005,702.70
  5. Step 5: Solve for x
    x = 2,005,702.70/1,239.81
  6. Step 6: Final answer
    x = 1,617.75

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