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Finding the Fourth Proportional to 3,143.54, 4,718.05 and 2,049.44

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Solution

The fourth proportional to 3,143.54, 4,718.05 and 2,049.44 is: 3,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.54 : 4,718.05 = 2,049.44 : x
  2. Step 2: Convert to fraction form
    3,143.54/4,718.05 = 2,049.44/x
  3. Step 3: Cross multiply
    3,143.54x = 4,718.05 × 2,049.44
  4. Step 4: Simplify right side
    3,143.54x = 9,669,331.68
  5. Step 5: Solve for x
    x = 9,669,331.68/3,143.54
  6. Step 6: Final answer
    x = 3,075.93

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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.