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Finding the Fourth Proportional to 2,305.38, 3,456.15 and 917.85

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Solution

The fourth proportional to 2,305.38, 3,456.15 and 917.85 is: 1,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.38 : 3,456.15 = 917.85 : x
  2. Step 2: Convert to fraction form
    2,305.38/3,456.15 = 917.85/x
  3. Step 3: Cross multiply
    2,305.38x = 3,456.15 × 917.85
  4. Step 4: Simplify right side
    2,305.38x = 3,172,227.28
  5. Step 5: Solve for x
    x = 3,172,227.28/2,305.38
  6. Step 6: Final answer
    x = 1,376.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.