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Finding the Fourth Proportional to 2,881.52, 3,976.24 and 1,686.65

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Solution

The fourth proportional to 2,881.52, 3,976.24 and 1,686.65 is: 2,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.52 : 3,976.24 = 1,686.65 : x
  2. Step 2: Convert to fraction form
    2,881.52/3,976.24 = 1,686.65/x
  3. Step 3: Cross multiply
    2,881.52x = 3,976.24 × 1,686.65
  4. Step 4: Simplify right side
    2,881.52x = 6,706,515.44
  5. Step 5: Solve for x
    x = 6,706,515.44/2,881.52
  6. Step 6: Final answer
    x = 2,327.42

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1.5x scale

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.