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Finding the Fourth Proportional to 2,591.99, 3,884.74 and 2,042

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Solution

The fourth proportional to 2,591.99, 3,884.74 and 2,042 is: 3,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.99 : 3,884.74 = 2,042 : x
  2. Step 2: Convert to fraction form
    2,591.99/3,884.74 = 2,042/x
  3. Step 3: Cross multiply
    2,591.99x = 3,884.74 × 2,042
  4. Step 4: Simplify right side
    2,591.99x = 7,932,639.08
  5. Step 5: Solve for x
    x = 7,932,639.08/2,591.99
  6. Step 6: Final answer
    x = 3,060.44

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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.