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Finding the Fourth Proportional to 2,167.69, 2,990.71 and 1,327.52

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Solution

The fourth proportional to 2,167.69, 2,990.71 and 1,327.52 is: 1,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.69 : 2,990.71 = 1,327.52 : x
  2. Step 2: Convert to fraction form
    2,167.69/2,990.71 = 1,327.52/x
  3. Step 3: Cross multiply
    2,167.69x = 2,990.71 × 1,327.52
  4. Step 4: Simplify right side
    2,167.69x = 3,970,227.34
  5. Step 5: Solve for x
    x = 3,970,227.34/2,167.69
  6. Step 6: Final answer
    x = 1,831.55

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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.