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Finding the Fourth Proportional to 2,389.97, 3,298.04 and 1,327.80

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Solution

The fourth proportional to 2,389.97, 3,298.04 and 1,327.80 is: 1,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.97 : 3,298.04 = 1,327.80 : x
  2. Step 2: Convert to fraction form
    2,389.97/3,298.04 = 1,327.80/x
  3. Step 3: Cross multiply
    2,389.97x = 3,298.04 × 1,327.80
  4. Step 4: Simplify right side
    2,389.97x = 4,379,139.59
  5. Step 5: Solve for x
    x = 4,379,139.59/2,389.97
  6. Step 6: Final answer
    x = 1,832.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.