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Finding the Fourth Proportional to 2,016.31, 2,782.05 and 1,544.77

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Solution

The fourth proportional to 2,016.31, 2,782.05 and 1,544.77 is: 2,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.31 : 2,782.05 = 1,544.77 : x
  2. Step 2: Convert to fraction form
    2,016.31/2,782.05 = 1,544.77/x
  3. Step 3: Cross multiply
    2,016.31x = 2,782.05 × 1,544.77
  4. Step 4: Simplify right side
    2,016.31x = 4,297,627.38
  5. Step 5: Solve for x
    x = 4,297,627.38/2,016.31
  6. Step 6: Final answer
    x = 2,131.43

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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.