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Finding the Fourth Proportional to 2,025.50, 3,039.51 and 871.26

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Solution

The fourth proportional to 2,025.50, 3,039.51 and 871.26 is: 1,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.50 : 3,039.51 = 871.26 : x
  2. Step 2: Convert to fraction form
    2,025.50/3,039.51 = 871.26/x
  3. Step 3: Cross multiply
    2,025.50x = 3,039.51 × 871.26
  4. Step 4: Simplify right side
    2,025.50x = 2,648,203.48
  5. Step 5: Solve for x
    x = 2,648,203.48/2,025.50
  6. Step 6: Final answer
    x = 1,307.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.