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Finding the Fourth Proportional to 2,696.82, 3,713.16 and 2,450.76

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Solution

The fourth proportional to 2,696.82, 3,713.16 and 2,450.76 is: 3,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.82 : 3,713.16 = 2,450.76 : x
  2. Step 2: Convert to fraction form
    2,696.82/3,713.16 = 2,450.76/x
  3. Step 3: Cross multiply
    2,696.82x = 3,713.16 × 2,450.76
  4. Step 4: Simplify right side
    2,696.82x = 9,100,064.00
  5. Step 5: Solve for x
    x = 9,100,064.00/2,696.82
  6. Step 6: Final answer
    x = 3,374.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.