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Finding the Fourth Proportional to 2,283.38, 3,149.74 and 1,538.37

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Solution

The fourth proportional to 2,283.38, 3,149.74 and 1,538.37 is: 2,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.38 : 3,149.74 = 1,538.37 : x
  2. Step 2: Convert to fraction form
    2,283.38/3,149.74 = 1,538.37/x
  3. Step 3: Cross multiply
    2,283.38x = 3,149.74 × 1,538.37
  4. Step 4: Simplify right side
    2,283.38x = 4,845,465.52
  5. Step 5: Solve for x
    x = 4,845,465.52/2,283.38
  6. Step 6: Final answer
    x = 2,122.06

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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.