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Finding the Fourth Proportional to 2,652.63, 3,979.44 and 1,831.29

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Solution

The fourth proportional to 2,652.63, 3,979.44 and 1,831.29 is: 2,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.63 : 3,979.44 = 1,831.29 : x
  2. Step 2: Convert to fraction form
    2,652.63/3,979.44 = 1,831.29/x
  3. Step 3: Cross multiply
    2,652.63x = 3,979.44 × 1,831.29
  4. Step 4: Simplify right side
    2,652.63x = 7,287,508.68
  5. Step 5: Solve for x
    x = 7,287,508.68/2,652.63
  6. Step 6: Final answer
    x = 2,747.28

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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.