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Finding the Fourth Proportional to 2,389.97, 3,588.30 and 1,896.68

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Solution

The fourth proportional to 2,389.97, 3,588.30 and 1,896.68 is: 2,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.97 : 3,588.30 = 1,896.68 : x
  2. Step 2: Convert to fraction form
    2,389.97/3,588.30 = 1,896.68/x
  3. Step 3: Cross multiply
    2,389.97x = 3,588.30 × 1,896.68
  4. Step 4: Simplify right side
    2,389.97x = 6,805,865.81
  5. Step 5: Solve for x
    x = 6,805,865.81/2,389.97
  6. Step 6: Final answer
    x = 2,847.68

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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.