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Finding the Fourth Proportional to 2,386.97, 3,578.89 and 926.27

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Solution

The fourth proportional to 2,386.97, 3,578.89 and 926.27 is: 1,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.97 : 3,578.89 = 926.27 : x
  2. Step 2: Convert to fraction form
    2,386.97/3,578.89 = 926.27/x
  3. Step 3: Cross multiply
    2,386.97x = 3,578.89 × 926.27
  4. Step 4: Simplify right side
    2,386.97x = 3,315,018.44
  5. Step 5: Solve for x
    x = 3,315,018.44/2,386.97
  6. Step 6: Final answer
    x = 1,388.80

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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.