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Finding the Fourth Proportional to 3,067.84, 4,598.18 and 1,399.46

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Solution

The fourth proportional to 3,067.84, 4,598.18 and 1,399.46 is: 2,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.84 : 4,598.18 = 1,399.46 : x
  2. Step 2: Convert to fraction form
    3,067.84/4,598.18 = 1,399.46/x
  3. Step 3: Cross multiply
    3,067.84x = 4,598.18 × 1,399.46
  4. Step 4: Simplify right side
    3,067.84x = 6,434,968.98
  5. Step 5: Solve for x
    x = 6,434,968.98/3,067.84
  6. Step 6: Final answer
    x = 2,097.56

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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.