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Finding the Fourth Proportional to 2,641.38, 3,643.29 and 1,591.62

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Solution

The fourth proportional to 2,641.38, 3,643.29 and 1,591.62 is: 2,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.38 : 3,643.29 = 1,591.62 : x
  2. Step 2: Convert to fraction form
    2,641.38/3,643.29 = 1,591.62/x
  3. Step 3: Cross multiply
    2,641.38x = 3,643.29 × 1,591.62
  4. Step 4: Simplify right side
    2,641.38x = 5,798,733.23
  5. Step 5: Solve for x
    x = 5,798,733.23/2,641.38
  6. Step 6: Final answer
    x = 2,195.34

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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.