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Finding the Fourth Proportional to 2,696.85, 3,721.10 and 1,577.56

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Solution

The fourth proportional to 2,696.85, 3,721.10 and 1,577.56 is: 2,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.85 : 3,721.10 = 1,577.56 : x
  2. Step 2: Convert to fraction form
    2,696.85/3,721.10 = 1,577.56/x
  3. Step 3: Cross multiply
    2,696.85x = 3,721.10 × 1,577.56
  4. Step 4: Simplify right side
    2,696.85x = 5,870,259.93
  5. Step 5: Solve for x
    x = 5,870,259.93/2,696.85
  6. Step 6: Final answer
    x = 2,176.71

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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.