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Finding the Fourth Proportional to 1,429.80, 2,144.66 and 389.97

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Solution

The fourth proportional to 1,429.80, 2,144.66 and 389.97 is: 584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.80 : 2,144.66 = 389.97 : x
  2. Step 2: Convert to fraction form
    1,429.80/2,144.66 = 389.97/x
  3. Step 3: Cross multiply
    1,429.80x = 2,144.66 × 389.97
  4. Step 4: Simplify right side
    1,429.80x = 836,351.11
  5. Step 5: Solve for x
    x = 836,351.11/1,429.80
  6. Step 6: Final answer
    x = 584.94

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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.