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Finding the Fourth Proportional to 2,579.66, 3,867.13 and 935.84

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Solution

The fourth proportional to 2,579.66, 3,867.13 and 935.84 is: 1,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.66 : 3,867.13 = 935.84 : x
  2. Step 2: Convert to fraction form
    2,579.66/3,867.13 = 935.84/x
  3. Step 3: Cross multiply
    2,579.66x = 3,867.13 × 935.84
  4. Step 4: Simplify right side
    2,579.66x = 3,619,017.28
  5. Step 5: Solve for x
    x = 3,619,017.28/2,579.66
  6. Step 6: Final answer
    x = 1,402.91

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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.