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Finding the Fourth Proportional to 2,694.17, 3,718.24 and 1,575.48

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Solution

The fourth proportional to 2,694.17, 3,718.24 and 1,575.48 is: 2,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.17 : 3,718.24 = 1,575.48 : x
  2. Step 2: Convert to fraction form
    2,694.17/3,718.24 = 1,575.48/x
  3. Step 3: Cross multiply
    2,694.17x = 3,718.24 × 1,575.48
  4. Step 4: Simplify right side
    2,694.17x = 5,858,012.76
  5. Step 5: Solve for x
    x = 5,858,012.76/2,694.17
  6. Step 6: Final answer
    x = 2,174.33

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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.