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Finding the Fourth Proportional to 1,832.50, 2,530 and 1,272.78

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Solution

The fourth proportional to 1,832.50, 2,530 and 1,272.78 is: 1,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.50 : 2,530 = 1,272.78 : x
  2. Step 2: Convert to fraction form
    1,832.50/2,530 = 1,272.78/x
  3. Step 3: Cross multiply
    1,832.50x = 2,530 × 1,272.78
  4. Step 4: Simplify right side
    1,832.50x = 3,220,133.40
  5. Step 5: Solve for x
    x = 3,220,133.40/1,832.50
  6. Step 6: Final answer
    x = 1,757.24

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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.