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Finding the Fourth Proportional to 1,949.84, 2,924.32 and 563.17

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Solution

The fourth proportional to 1,949.84, 2,924.32 and 563.17 is: 844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.84 : 2,924.32 = 563.17 : x
  2. Step 2: Convert to fraction form
    1,949.84/2,924.32 = 563.17/x
  3. Step 3: Cross multiply
    1,949.84x = 2,924.32 × 563.17
  4. Step 4: Simplify right side
    1,949.84x = 1,646,889.29
  5. Step 5: Solve for x
    x = 1,646,889.29/1,949.84
  6. Step 6: Final answer
    x = 844.63

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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.