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Finding the Fourth Proportional to 1,868.02, 2,578.79 and 1,447.42

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Solution

The fourth proportional to 1,868.02, 2,578.79 and 1,447.42 is: 1,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.02 : 2,578.79 = 1,447.42 : x
  2. Step 2: Convert to fraction form
    1,868.02/2,578.79 = 1,447.42/x
  3. Step 3: Cross multiply
    1,868.02x = 2,578.79 × 1,447.42
  4. Step 4: Simplify right side
    1,868.02x = 3,732,589.39
  5. Step 5: Solve for x
    x = 3,732,589.39/1,868.02
  6. Step 6: Final answer
    x = 1,998.16

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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.