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Finding the Fourth Proportional to 1,949.43, 2,924.15 and 562.97

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Solution

The fourth proportional to 1,949.43, 2,924.15 and 562.97 is: 844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.43 : 2,924.15 = 562.97 : x
  2. Step 2: Convert to fraction form
    1,949.43/2,924.15 = 562.97/x
  3. Step 3: Cross multiply
    1,949.43x = 2,924.15 × 562.97
  4. Step 4: Simplify right side
    1,949.43x = 1,646,191.29
  5. Step 5: Solve for x
    x = 1,646,191.29/1,949.43
  6. Step 6: Final answer
    x = 844.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.