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Finding the Fourth Proportional to 1,223.12, 1,834.19 and 389.91

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Solution

The fourth proportional to 1,223.12, 1,834.19 and 389.91 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.12 : 1,834.19 = 389.91 : x
  2. Step 2: Convert to fraction form
    1,223.12/1,834.19 = 389.91/x
  3. Step 3: Cross multiply
    1,223.12x = 1,834.19 × 389.91
  4. Step 4: Simplify right side
    1,223.12x = 715,175.41
  5. Step 5: Solve for x
    x = 715,175.41/1,223.12
  6. Step 6: Final answer
    x = 584.71

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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.