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Finding the Fourth Proportional to 1,949.30, 2,920.17 and 976.22

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Solution

The fourth proportional to 1,949.30, 2,920.17 and 976.22 is: 1,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.30 : 2,920.17 = 976.22 : x
  2. Step 2: Convert to fraction form
    1,949.30/2,920.17 = 976.22/x
  3. Step 3: Cross multiply
    1,949.30x = 2,920.17 × 976.22
  4. Step 4: Simplify right side
    1,949.30x = 2,850,728.36
  5. Step 5: Solve for x
    x = 2,850,728.36/1,949.30
  6. Step 6: Final answer
    x = 1,462.44

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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.