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Finding the Fourth Proportional to 1,591.41, 2,197.10 and 1,067.74

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Solution

The fourth proportional to 1,591.41, 2,197.10 and 1,067.74 is: 1,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.41 : 2,197.10 = 1,067.74 : x
  2. Step 2: Convert to fraction form
    1,591.41/2,197.10 = 1,067.74/x
  3. Step 3: Cross multiply
    1,591.41x = 2,197.10 × 1,067.74
  4. Step 4: Simplify right side
    1,591.41x = 2,345,931.55
  5. Step 5: Solve for x
    x = 2,345,931.55/1,591.41
  6. Step 6: Final answer
    x = 1,474.12

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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.