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Finding the Fourth Proportional to 2,744.52, 3,788.01 and 1,696.38

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Solution

The fourth proportional to 2,744.52, 3,788.01 and 1,696.38 is: 2,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.52 : 3,788.01 = 1,696.38 : x
  2. Step 2: Convert to fraction form
    2,744.52/3,788.01 = 1,696.38/x
  3. Step 3: Cross multiply
    2,744.52x = 3,788.01 × 1,696.38
  4. Step 4: Simplify right side
    2,744.52x = 6,425,904.40
  5. Step 5: Solve for x
    x = 6,425,904.40/2,744.52
  6. Step 6: Final answer
    x = 2,341.36

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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.