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Finding the Fourth Proportional to 2,754.86, 4,132.90 and 806.90

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Solution

The fourth proportional to 2,754.86, 4,132.90 and 806.90 is: 1,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.86 : 4,132.90 = 806.90 : x
  2. Step 2: Convert to fraction form
    2,754.86/4,132.90 = 806.90/x
  3. Step 3: Cross multiply
    2,754.86x = 4,132.90 × 806.90
  4. Step 4: Simplify right side
    2,754.86x = 3,334,837.01
  5. Step 5: Solve for x
    x = 3,334,837.01/2,754.86
  6. Step 6: Final answer
    x = 1,210.53

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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.