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Finding the Fourth Proportional to 1,565.88, 2,160.93 and 867.25

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Solution

The fourth proportional to 1,565.88, 2,160.93 and 867.25 is: 1,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.88 : 2,160.93 = 867.25 : x
  2. Step 2: Convert to fraction form
    1,565.88/2,160.93 = 867.25/x
  3. Step 3: Cross multiply
    1,565.88x = 2,160.93 × 867.25
  4. Step 4: Simplify right side
    1,565.88x = 1,874,066.54
  5. Step 5: Solve for x
    x = 1,874,066.54/1,565.88
  6. Step 6: Final answer
    x = 1,196.81

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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.