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Finding the Fourth Proportional to 1,388.97, 2,083.73 and 415.17

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Solution

The fourth proportional to 1,388.97, 2,083.73 and 415.17 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.97 : 2,083.73 = 415.17 : x
  2. Step 2: Convert to fraction form
    1,388.97/2,083.73 = 415.17/x
  3. Step 3: Cross multiply
    1,388.97x = 2,083.73 × 415.17
  4. Step 4: Simplify right side
    1,388.97x = 865,100.11
  5. Step 5: Solve for x
    x = 865,100.11/1,388.97
  6. Step 6: Final answer
    x = 622.84

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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.