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Finding the Fourth Proportional to 3,049.81, 4,574.41 and 1,405.91

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Solution

The fourth proportional to 3,049.81, 4,574.41 and 1,405.91 is: 2,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.81 : 4,574.41 = 1,405.91 : x
  2. Step 2: Convert to fraction form
    3,049.81/4,574.41 = 1,405.91/x
  3. Step 3: Cross multiply
    3,049.81x = 4,574.41 × 1,405.91
  4. Step 4: Simplify right side
    3,049.81x = 6,431,216.68
  5. Step 5: Solve for x
    x = 6,431,216.68/3,049.81
  6. Step 6: Final answer
    x = 2,108.73

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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.