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Finding the Fourth Proportional to 2,363.43, 3,261.70 and 1,565.38

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Solution

The fourth proportional to 2,363.43, 3,261.70 and 1,565.38 is: 2,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.43 : 3,261.70 = 1,565.38 : x
  2. Step 2: Convert to fraction form
    2,363.43/3,261.70 = 1,565.38/x
  3. Step 3: Cross multiply
    2,363.43x = 3,261.70 × 1,565.38
  4. Step 4: Simplify right side
    2,363.43x = 5,105,799.95
  5. Step 5: Solve for x
    x = 5,105,799.95/2,363.43
  6. Step 6: Final answer
    x = 2,160.33

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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.