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Finding the Fourth Proportional to 2,696.68, 4,044.85 and 941.56

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Solution

The fourth proportional to 2,696.68, 4,044.85 and 941.56 is: 1,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.68 : 4,044.85 = 941.56 : x
  2. Step 2: Convert to fraction form
    2,696.68/4,044.85 = 941.56/x
  3. Step 3: Cross multiply
    2,696.68x = 4,044.85 × 941.56
  4. Step 4: Simplify right side
    2,696.68x = 3,808,468.97
  5. Step 5: Solve for x
    x = 3,808,468.97/2,696.68
  6. Step 6: Final answer
    x = 1,412.28

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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.