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Finding the Fourth Proportional to 2,663.69, 3,989.37 and 2,571.42

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Solution

The fourth proportional to 2,663.69, 3,989.37 and 2,571.42 is: 3,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.69 : 3,989.37 = 2,571.42 : x
  2. Step 2: Convert to fraction form
    2,663.69/3,989.37 = 2,571.42/x
  3. Step 3: Cross multiply
    2,663.69x = 3,989.37 × 2,571.42
  4. Step 4: Simplify right side
    2,663.69x = 10,258,345.81
  5. Step 5: Solve for x
    x = 10,258,345.81/2,663.69
  6. Step 6: Final answer
    x = 3,851.18

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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.