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Finding the Fourth Proportional to 2,473.08, 3,711.42 and 1,991.94

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Solution

The fourth proportional to 2,473.08, 3,711.42 and 1,991.94 is: 2,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.08 : 3,711.42 = 1,991.94 : x
  2. Step 2: Convert to fraction form
    2,473.08/3,711.42 = 1,991.94/x
  3. Step 3: Cross multiply
    2,473.08x = 3,711.42 × 1,991.94
  4. Step 4: Simplify right side
    2,473.08x = 7,392,925.95
  5. Step 5: Solve for x
    x = 7,392,925.95/2,473.08
  6. Step 6: Final answer
    x = 2,989.36

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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.