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Finding the Fourth Proportional to 3,067.95, 4,599.91 and 1,314.09

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Solution

The fourth proportional to 3,067.95, 4,599.91 and 1,314.09 is: 1,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.95 : 4,599.91 = 1,314.09 : x
  2. Step 2: Convert to fraction form
    3,067.95/4,599.91 = 1,314.09/x
  3. Step 3: Cross multiply
    3,067.95x = 4,599.91 × 1,314.09
  4. Step 4: Simplify right side
    3,067.95x = 6,044,695.73
  5. Step 5: Solve for x
    x = 6,044,695.73/3,067.95
  6. Step 6: Final answer
    x = 1,970.27

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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.