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Finding the Fourth Proportional to 2,095.38, 2,891.60 and 1,138.31

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Solution

The fourth proportional to 2,095.38, 2,891.60 and 1,138.31 is: 1,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.38 : 2,891.60 = 1,138.31 : x
  2. Step 2: Convert to fraction form
    2,095.38/2,891.60 = 1,138.31/x
  3. Step 3: Cross multiply
    2,095.38x = 2,891.60 × 1,138.31
  4. Step 4: Simplify right side
    2,095.38x = 3,291,538.56
  5. Step 5: Solve for x
    x = 3,291,538.56/2,095.38
  6. Step 6: Final answer
    x = 1,570.86

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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.