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Finding the Fourth Proportional to 1,369.80, 2,044.31 and 1,206.08

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Solution

The fourth proportional to 1,369.80, 2,044.31 and 1,206.08 is: 1,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.80 : 2,044.31 = 1,206.08 : x
  2. Step 2: Convert to fraction form
    1,369.80/2,044.31 = 1,206.08/x
  3. Step 3: Cross multiply
    1,369.80x = 2,044.31 × 1,206.08
  4. Step 4: Simplify right side
    1,369.80x = 2,465,601.40
  5. Step 5: Solve for x
    x = 2,465,601.40/1,369.80
  6. Step 6: Final answer
    x = 1,799.97

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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.