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Finding the Fourth Proportional to 2,997.84, 4,497.18 and 806.64

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Solution

The fourth proportional to 2,997.84, 4,497.18 and 806.64 is: 1,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.84 : 4,497.18 = 806.64 : x
  2. Step 2: Convert to fraction form
    2,997.84/4,497.18 = 806.64/x
  3. Step 3: Cross multiply
    2,997.84x = 4,497.18 × 806.64
  4. Step 4: Simplify right side
    2,997.84x = 3,627,605.28
  5. Step 5: Solve for x
    x = 3,627,605.28/2,997.84
  6. Step 6: Final answer
    x = 1,210.07

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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.