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Finding the Fourth Proportional to 2,641.53, 3,639.19 and 2,198.67

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Solution

The fourth proportional to 2,641.53, 3,639.19 and 2,198.67 is: 3,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.53 : 3,639.19 = 2,198.67 : x
  2. Step 2: Convert to fraction form
    2,641.53/3,639.19 = 2,198.67/x
  3. Step 3: Cross multiply
    2,641.53x = 3,639.19 × 2,198.67
  4. Step 4: Simplify right side
    2,641.53x = 8,001,377.88
  5. Step 5: Solve for x
    x = 8,001,377.88/2,641.53
  6. Step 6: Final answer
    x = 3,029.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.