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Finding the Fourth Proportional to 2,708.97, 4,060.99 and 976.38

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Solution

The fourth proportional to 2,708.97, 4,060.99 and 976.38 is: 1,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.97 : 4,060.99 = 976.38 : x
  2. Step 2: Convert to fraction form
    2,708.97/4,060.99 = 976.38/x
  3. Step 3: Cross multiply
    2,708.97x = 4,060.99 × 976.38
  4. Step 4: Simplify right side
    2,708.97x = 3,965,069.42
  5. Step 5: Solve for x
    x = 3,965,069.42/2,708.97
  6. Step 6: Final answer
    x = 1,463.68

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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.