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Finding the Fourth Proportional to 2,803.26, 3,868.74 and 1,544.52

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Solution

The fourth proportional to 2,803.26, 3,868.74 and 1,544.52 is: 2,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.26 : 3,868.74 = 1,544.52 : x
  2. Step 2: Convert to fraction form
    2,803.26/3,868.74 = 1,544.52/x
  3. Step 3: Cross multiply
    2,803.26x = 3,868.74 × 1,544.52
  4. Step 4: Simplify right side
    2,803.26x = 5,975,346.30
  5. Step 5: Solve for x
    x = 5,975,346.30/2,803.26
  6. Step 6: Final answer
    x = 2,131.57

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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.