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Finding the Fourth Proportional to 2,049.09, 3,074.18 and 1,074.93

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Solution

The fourth proportional to 2,049.09, 3,074.18 and 1,074.93 is: 1,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.09 : 3,074.18 = 1,074.93 : x
  2. Step 2: Convert to fraction form
    2,049.09/3,074.18 = 1,074.93/x
  3. Step 3: Cross multiply
    2,049.09x = 3,074.18 × 1,074.93
  4. Step 4: Simplify right side
    2,049.09x = 3,304,528.31
  5. Step 5: Solve for x
    x = 3,304,528.31/2,049.09
  6. Step 6: Final answer
    x = 1,612.68

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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.