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Finding the Fourth Proportional to 1,938.57, 2,675.07 and 1,350.38

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Solution

The fourth proportional to 1,938.57, 2,675.07 and 1,350.38 is: 1,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.57 : 2,675.07 = 1,350.38 : x
  2. Step 2: Convert to fraction form
    1,938.57/2,675.07 = 1,350.38/x
  3. Step 3: Cross multiply
    1,938.57x = 2,675.07 × 1,350.38
  4. Step 4: Simplify right side
    1,938.57x = 3,612,347.65
  5. Step 5: Solve for x
    x = 3,612,347.65/1,938.57
  6. Step 6: Final answer
    x = 1,863.41

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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.