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Finding the Fourth Proportional to 2,753.63, 4,130.51 and 805.85

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Solution

The fourth proportional to 2,753.63, 4,130.51 and 805.85 is: 1,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.63 : 4,130.51 = 805.85 : x
  2. Step 2: Convert to fraction form
    2,753.63/4,130.51 = 805.85/x
  3. Step 3: Cross multiply
    2,753.63x = 4,130.51 × 805.85
  4. Step 4: Simplify right side
    2,753.63x = 3,328,571.48
  5. Step 5: Solve for x
    x = 3,328,571.48/2,753.63
  6. Step 6: Final answer
    x = 1,208.79

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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.