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Finding the Fourth Proportional to 2,714.38, 3,745.76 and 1,535.42

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Solution

The fourth proportional to 2,714.38, 3,745.76 and 1,535.42 is: 2,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.38 : 3,745.76 = 1,535.42 : x
  2. Step 2: Convert to fraction form
    2,714.38/3,745.76 = 1,535.42/x
  3. Step 3: Cross multiply
    2,714.38x = 3,745.76 × 1,535.42
  4. Step 4: Simplify right side
    2,714.38x = 5,751,316.51
  5. Step 5: Solve for x
    x = 5,751,316.51/2,714.38
  6. Step 6: Final answer
    x = 2,118.83

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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.