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Finding the Fourth Proportional to 2,731.77, 4,097.65 and 679.77

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Solution

The fourth proportional to 2,731.77, 4,097.65 and 679.77 is: 1,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.77 : 4,097.65 = 679.77 : x
  2. Step 2: Convert to fraction form
    2,731.77/4,097.65 = 679.77/x
  3. Step 3: Cross multiply
    2,731.77x = 4,097.65 × 679.77
  4. Step 4: Simplify right side
    2,731.77x = 2,785,459.54
  5. Step 5: Solve for x
    x = 2,785,459.54/2,731.77
  6. Step 6: Final answer
    x = 1,019.65

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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.