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Finding the Fourth Proportional to 1,569.13, 2,164.79 and 905.86

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Solution

The fourth proportional to 1,569.13, 2,164.79 and 905.86 is: 1,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.13 : 2,164.79 = 905.86 : x
  2. Step 2: Convert to fraction form
    1,569.13/2,164.79 = 905.86/x
  3. Step 3: Cross multiply
    1,569.13x = 2,164.79 × 905.86
  4. Step 4: Simplify right side
    1,569.13x = 1,960,991.73
  5. Step 5: Solve for x
    x = 1,960,991.73/1,569.13
  6. Step 6: Final answer
    x = 1,249.73

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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.