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Finding the Fourth Proportional to 2,694.42, 3,717.74 and 1,575.14

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Solution

The fourth proportional to 2,694.42, 3,717.74 and 1,575.14 is: 2,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.42 : 3,717.74 = 1,575.14 : x
  2. Step 2: Convert to fraction form
    2,694.42/3,717.74 = 1,575.14/x
  3. Step 3: Cross multiply
    2,694.42x = 3,717.74 × 1,575.14
  4. Step 4: Simplify right side
    2,694.42x = 5,855,934.52
  5. Step 5: Solve for x
    x = 5,855,934.52/2,694.42
  6. Step 6: Final answer
    x = 2,173.36

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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.