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Finding the Fourth Proportional to 1,565.96, 2,161.05 and 867.29

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Solution

The fourth proportional to 1,565.96, 2,161.05 and 867.29 is: 1,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.96 : 2,161.05 = 867.29 : x
  2. Step 2: Convert to fraction form
    1,565.96/2,161.05 = 867.29/x
  3. Step 3: Cross multiply
    1,565.96x = 2,161.05 × 867.29
  4. Step 4: Simplify right side
    1,565.96x = 1,874,257.05
  5. Step 5: Solve for x
    x = 1,874,257.05/1,565.96
  6. Step 6: Final answer
    x = 1,196.87

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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.