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Finding the Fourth Proportional to 2,696.38, 4,044.58 and 1,601.66

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Solution

The fourth proportional to 2,696.38, 4,044.58 and 1,601.66 is: 2,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.38 : 4,044.58 = 1,601.66 : x
  2. Step 2: Convert to fraction form
    2,696.38/4,044.58 = 1,601.66/x
  3. Step 3: Cross multiply
    2,696.38x = 4,044.58 × 1,601.66
  4. Step 4: Simplify right side
    2,696.38x = 6,478,048.11
  5. Step 5: Solve for x
    x = 6,478,048.11/2,696.38
  6. Step 6: Final answer
    x = 2,402.50

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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.