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Finding the Fourth Proportional to 2,696.12, 4,043.17 and 940.67

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Solution

The fourth proportional to 2,696.12, 4,043.17 and 940.67 is: 1,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.12 : 4,043.17 = 940.67 : x
  2. Step 2: Convert to fraction form
    2,696.12/4,043.17 = 940.67/x
  3. Step 3: Cross multiply
    2,696.12x = 4,043.17 × 940.67
  4. Step 4: Simplify right side
    2,696.12x = 3,803,288.72
  5. Step 5: Solve for x
    x = 3,803,288.72/2,696.12
  6. Step 6: Final answer
    x = 1,410.65

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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.