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Finding the Fourth Proportional to 2,462.82, 3,396.51 and 1,578.30

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Solution

The fourth proportional to 2,462.82, 3,396.51 and 1,578.30 is: 2,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.82 : 3,396.51 = 1,578.30 : x
  2. Step 2: Convert to fraction form
    2,462.82/3,396.51 = 1,578.30/x
  3. Step 3: Cross multiply
    2,462.82x = 3,396.51 × 1,578.30
  4. Step 4: Simplify right side
    2,462.82x = 5,360,711.73
  5. Step 5: Solve for x
    x = 5,360,711.73/2,462.82
  6. Step 6: Final answer
    x = 2,176.66

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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.