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Finding the Fourth Proportional to 2,327.71, 3,213.08 and 1,542.01

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Solution

The fourth proportional to 2,327.71, 3,213.08 and 1,542.01 is: 2,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.71 : 3,213.08 = 1,542.01 : x
  2. Step 2: Convert to fraction form
    2,327.71/3,213.08 = 1,542.01/x
  3. Step 3: Cross multiply
    2,327.71x = 3,213.08 × 1,542.01
  4. Step 4: Simplify right side
    2,327.71x = 4,954,601.49
  5. Step 5: Solve for x
    x = 4,954,601.49/2,327.71
  6. Step 6: Final answer
    x = 2,128.53

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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.