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Finding the Fourth Proportional to 1,949.49, 2,924.75 and 562.94

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Solution

The fourth proportional to 1,949.49, 2,924.75 and 562.94 is: 844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.49 : 2,924.75 = 562.94 : x
  2. Step 2: Convert to fraction form
    1,949.49/2,924.75 = 562.94/x
  3. Step 3: Cross multiply
    1,949.49x = 2,924.75 × 562.94
  4. Step 4: Simplify right side
    1,949.49x = 1,646,456.52
  5. Step 5: Solve for x
    x = 1,646,456.52/1,949.49
  6. Step 6: Final answer
    x = 844.56

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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.