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Finding the Fourth Proportional to 2,686, 4,029.14 and 954.76

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Solution

The fourth proportional to 2,686, 4,029.14 and 954.76 is: 1,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 4,029.14 = 954.76 : x
  2. Step 2: Convert to fraction form
    2,686/4,029.14 = 954.76/x
  3. Step 3: Cross multiply
    2,686x = 4,029.14 × 954.76
  4. Step 4: Simplify right side
    2,686x = 3,846,861.71
  5. Step 5: Solve for x
    x = 3,846,861.71/2,686
  6. Step 6: Final answer
    x = 1,432.19

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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.