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Finding the Fourth Proportional to 2,754.99, 4,132.62 and 807.21

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Solution

The fourth proportional to 2,754.99, 4,132.62 and 807.21 is: 1,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.99 : 4,132.62 = 807.21 : x
  2. Step 2: Convert to fraction form
    2,754.99/4,132.62 = 807.21/x
  3. Step 3: Cross multiply
    2,754.99x = 4,132.62 × 807.21
  4. Step 4: Simplify right side
    2,754.99x = 3,335,892.19
  5. Step 5: Solve for x
    x = 3,335,892.19/2,754.99
  6. Step 6: Final answer
    x = 1,210.85

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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.