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Finding the Fourth Proportional to 1,389.11, 2,083.52 and 415.22

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Solution

The fourth proportional to 1,389.11, 2,083.52 and 415.22 is: 622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.11 : 2,083.52 = 415.22 : x
  2. Step 2: Convert to fraction form
    1,389.11/2,083.52 = 415.22/x
  3. Step 3: Cross multiply
    1,389.11x = 2,083.52 × 415.22
  4. Step 4: Simplify right side
    1,389.11x = 865,106.68
  5. Step 5: Solve for x
    x = 865,106.68/1,389.11
  6. Step 6: Final answer
    x = 622.78

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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.