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Finding the Fourth Proportional to 2,396.72, 3,594.17 and 1,574.78

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Solution

The fourth proportional to 2,396.72, 3,594.17 and 1,574.78 is: 2,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.72 : 3,594.17 = 1,574.78 : x
  2. Step 2: Convert to fraction form
    2,396.72/3,594.17 = 1,574.78/x
  3. Step 3: Cross multiply
    2,396.72x = 3,594.17 × 1,574.78
  4. Step 4: Simplify right side
    2,396.72x = 5,660,013.00
  5. Step 5: Solve for x
    x = 5,660,013.00/2,396.72
  6. Step 6: Final answer
    x = 2,361.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.