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Finding the Fourth Proportional to 1,781.08, 2,670.78 and 685.96

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Solution

The fourth proportional to 1,781.08, 2,670.78 and 685.96 is: 1,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.08 : 2,670.78 = 685.96 : x
  2. Step 2: Convert to fraction form
    1,781.08/2,670.78 = 685.96/x
  3. Step 3: Cross multiply
    1,781.08x = 2,670.78 × 685.96
  4. Step 4: Simplify right side
    1,781.08x = 1,832,048.25
  5. Step 5: Solve for x
    x = 1,832,048.25/1,781.08
  6. Step 6: Final answer
    x = 1,028.62

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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.