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Finding the Fourth Proportional to 2,803.42, 3,868.71 and 1,544.44

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Solution

The fourth proportional to 2,803.42, 3,868.71 and 1,544.44 is: 2,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.42 : 3,868.71 = 1,544.44 : x
  2. Step 2: Convert to fraction form
    2,803.42/3,868.71 = 1,544.44/x
  3. Step 3: Cross multiply
    2,803.42x = 3,868.71 × 1,544.44
  4. Step 4: Simplify right side
    2,803.42x = 5,974,990.47
  5. Step 5: Solve for x
    x = 5,974,990.47/2,803.42
  6. Step 6: Final answer
    x = 2,131.32

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Why These Related Problems?

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