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Finding the Fourth Proportional to 2,389.66, 3,297.62 and 1,327.49

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Solution

The fourth proportional to 2,389.66, 3,297.62 and 1,327.49 is: 1,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.66 : 3,297.62 = 1,327.49 : x
  2. Step 2: Convert to fraction form
    2,389.66/3,297.62 = 1,327.49/x
  3. Step 3: Cross multiply
    2,389.66x = 3,297.62 × 1,327.49
  4. Step 4: Simplify right side
    2,389.66x = 4,377,564.16
  5. Step 5: Solve for x
    x = 4,377,564.16/2,389.66
  6. Step 6: Final answer
    x = 1,831.88

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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.