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Finding the Fourth Proportional to 2,803.62, 3,869 and 1,544.72

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Solution

The fourth proportional to 2,803.62, 3,869 and 1,544.72 is: 2,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.62 : 3,869 = 1,544.72 : x
  2. Step 2: Convert to fraction form
    2,803.62/3,869 = 1,544.72/x
  3. Step 3: Cross multiply
    2,803.62x = 3,869 × 1,544.72
  4. Step 4: Simplify right side
    2,803.62x = 5,976,521.68
  5. Step 5: Solve for x
    x = 5,976,521.68/2,803.62
  6. Step 6: Final answer
    x = 2,131.72

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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.