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Finding the Fourth Proportional to 2,655.82, 3,984.30 and 806.74

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Solution

The fourth proportional to 2,655.82, 3,984.30 and 806.74 is: 1,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.82 : 3,984.30 = 806.74 : x
  2. Step 2: Convert to fraction form
    2,655.82/3,984.30 = 806.74/x
  3. Step 3: Cross multiply
    2,655.82x = 3,984.30 × 806.74
  4. Step 4: Simplify right side
    2,655.82x = 3,214,294.18
  5. Step 5: Solve for x
    x = 3,214,294.18/2,655.82
  6. Step 6: Final answer
    x = 1,210.28

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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.