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Finding the Fourth Proportional to 2,389.84, 3,297.57 and 1,327.43

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Solution

The fourth proportional to 2,389.84, 3,297.57 and 1,327.43 is: 1,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.84 : 3,297.57 = 1,327.43 : x
  2. Step 2: Convert to fraction form
    2,389.84/3,297.57 = 1,327.43/x
  3. Step 3: Cross multiply
    2,389.84x = 3,297.57 × 1,327.43
  4. Step 4: Simplify right side
    2,389.84x = 4,377,293.35
  5. Step 5: Solve for x
    x = 4,377,293.35/2,389.84
  6. Step 6: Final answer
    x = 1,831.63

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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.