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Finding the Fourth Proportional to 2,025.88, 3,041 and 931.12

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Solution

The fourth proportional to 2,025.88, 3,041 and 931.12 is: 1,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.88 : 3,041 = 931.12 : x
  2. Step 2: Convert to fraction form
    2,025.88/3,041 = 931.12/x
  3. Step 3: Cross multiply
    2,025.88x = 3,041 × 931.12
  4. Step 4: Simplify right side
    2,025.88x = 2,831,535.92
  5. Step 5: Solve for x
    x = 2,831,535.92/2,025.88
  6. Step 6: Final answer
    x = 1,397.68

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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.