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Finding the Fourth Proportional to 2,708.68, 4,063.44 and 977.72

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Solution

The fourth proportional to 2,708.68, 4,063.44 and 977.72 is: 1,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.68 : 4,063.44 = 977.72 : x
  2. Step 2: Convert to fraction form
    2,708.68/4,063.44 = 977.72/x
  3. Step 3: Cross multiply
    2,708.68x = 4,063.44 × 977.72
  4. Step 4: Simplify right side
    2,708.68x = 3,972,906.56
  5. Step 5: Solve for x
    x = 3,972,906.56/2,708.68
  6. Step 6: Final answer
    x = 1,466.73

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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.