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Finding the Fourth Proportional to 2,696.85, 4,044.16 and 941.48

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Solution

The fourth proportional to 2,696.85, 4,044.16 and 941.48 is: 1,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.85 : 4,044.16 = 941.48 : x
  2. Step 2: Convert to fraction form
    2,696.85/4,044.16 = 941.48/x
  3. Step 3: Cross multiply
    2,696.85x = 4,044.16 × 941.48
  4. Step 4: Simplify right side
    2,696.85x = 3,807,491.05
  5. Step 5: Solve for x
    x = 3,807,491.05/2,696.85
  6. Step 6: Final answer
    x = 1,411.83

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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.