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Finding the Fourth Proportional to 2,062.50, 2,846.25 and 1,131

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Solution

The fourth proportional to 2,062.50, 2,846.25 and 1,131 is: 1,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.50 : 2,846.25 = 1,131 : x
  2. Step 2: Convert to fraction form
    2,062.50/2,846.25 = 1,131/x
  3. Step 3: Cross multiply
    2,062.50x = 2,846.25 × 1,131
  4. Step 4: Simplify right side
    2,062.50x = 3,219,108.75
  5. Step 5: Solve for x
    x = 3,219,108.75/2,062.50
  6. Step 6: Final answer
    x = 1,560.78

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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.