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Finding the Fourth Proportional to 2,866.64, 3,956.04 and 1,687.79

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Solution

The fourth proportional to 2,866.64, 3,956.04 and 1,687.79 is: 2,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.64 : 3,956.04 = 1,687.79 : x
  2. Step 2: Convert to fraction form
    2,866.64/3,956.04 = 1,687.79/x
  3. Step 3: Cross multiply
    2,866.64x = 3,956.04 × 1,687.79
  4. Step 4: Simplify right side
    2,866.64x = 6,676,952.39
  5. Step 5: Solve for x
    x = 6,676,952.39/2,866.64
  6. Step 6: Final answer
    x = 2,329.19

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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.