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Finding the Fourth Proportional to 2,744.85, 3,788.61 and 1,696.32

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Solution

The fourth proportional to 2,744.85, 3,788.61 and 1,696.32 is: 2,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.85 : 3,788.61 = 1,696.32 : x
  2. Step 2: Convert to fraction form
    2,744.85/3,788.61 = 1,696.32/x
  3. Step 3: Cross multiply
    2,744.85x = 3,788.61 × 1,696.32
  4. Step 4: Simplify right side
    2,744.85x = 6,426,694.92
  5. Step 5: Solve for x
    x = 6,426,694.92/2,744.85
  6. Step 6: Final answer
    x = 2,341.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.