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Finding the Fourth Proportional to 2,803.50, 3,868.56 and 1,544.46

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Solution

The fourth proportional to 2,803.50, 3,868.56 and 1,544.46 is: 2,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.50 : 3,868.56 = 1,544.46 : x
  2. Step 2: Convert to fraction form
    2,803.50/3,868.56 = 1,544.46/x
  3. Step 3: Cross multiply
    2,803.50x = 3,868.56 × 1,544.46
  4. Step 4: Simplify right side
    2,803.50x = 5,974,836.18
  5. Step 5: Solve for x
    x = 5,974,836.18/2,803.50
  6. Step 6: Final answer
    x = 2,131.21

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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.