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Finding the Fourth Proportional to 2,047.68, 3,073.95 and 2,039.58

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Solution

The fourth proportional to 2,047.68, 3,073.95 and 2,039.58 is: 3,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.68 : 3,073.95 = 2,039.58 : x
  2. Step 2: Convert to fraction form
    2,047.68/3,073.95 = 2,039.58/x
  3. Step 3: Cross multiply
    2,047.68x = 3,073.95 × 2,039.58
  4. Step 4: Simplify right side
    2,047.68x = 6,269,566.94
  5. Step 5: Solve for x
    x = 6,269,566.94/2,047.68
  6. Step 6: Final answer
    x = 3,061.79

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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.