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Finding the Fourth Proportional to 1,950.38, 2,924.73 and 1,129.22

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Solution

The fourth proportional to 1,950.38, 2,924.73 and 1,129.22 is: 1,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.38 : 2,924.73 = 1,129.22 : x
  2. Step 2: Convert to fraction form
    1,950.38/2,924.73 = 1,129.22/x
  3. Step 3: Cross multiply
    1,950.38x = 2,924.73 × 1,129.22
  4. Step 4: Simplify right side
    1,950.38x = 3,302,648.99
  5. Step 5: Solve for x
    x = 3,302,648.99/1,950.38
  6. Step 6: Final answer
    x = 1,693.34

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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.