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Finding the Fourth Proportional to 1,389.09, 2,083.97 and 415.23

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Solution

The fourth proportional to 1,389.09, 2,083.97 and 415.23 is: 622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.09 : 2,083.97 = 415.23 : x
  2. Step 2: Convert to fraction form
    1,389.09/2,083.97 = 415.23/x
  3. Step 3: Cross multiply
    1,389.09x = 2,083.97 × 415.23
  4. Step 4: Simplify right side
    1,389.09x = 865,320.09
  5. Step 5: Solve for x
    x = 865,320.09/1,389.09
  6. Step 6: Final answer
    x = 622.94

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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.