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Finding the Fourth Proportional to 1,815.27, 2,506.49 and 1,394.97

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Solution

The fourth proportional to 1,815.27, 2,506.49 and 1,394.97 is: 1,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.27 : 2,506.49 = 1,394.97 : x
  2. Step 2: Convert to fraction form
    1,815.27/2,506.49 = 1,394.97/x
  3. Step 3: Cross multiply
    1,815.27x = 2,506.49 × 1,394.97
  4. Step 4: Simplify right side
    1,815.27x = 3,496,471.38
  5. Step 5: Solve for x
    x = 3,496,471.38/1,815.27
  6. Step 6: Final answer
    x = 1,926.14

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Why These Related Problems?

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