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Finding the Fourth Proportional to 2,860, 3,945.84 and 1,680.16

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Solution

The fourth proportional to 2,860, 3,945.84 and 1,680.16 is: 2,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860 : 3,945.84 = 1,680.16 : x
  2. Step 2: Convert to fraction form
    2,860/3,945.84 = 1,680.16/x
  3. Step 3: Cross multiply
    2,860x = 3,945.84 × 1,680.16
  4. Step 4: Simplify right side
    2,860x = 6,629,642.53
  5. Step 5: Solve for x
    x = 6,629,642.53/2,860
  6. Step 6: Final answer
    x = 2,318.06

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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.