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Finding the Fourth Proportional to 2,831.58, 4,243.32 and 2,484.09

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Solution

The fourth proportional to 2,831.58, 4,243.32 and 2,484.09 is: 3,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.58 : 4,243.32 = 2,484.09 : x
  2. Step 2: Convert to fraction form
    2,831.58/4,243.32 = 2,484.09/x
  3. Step 3: Cross multiply
    2,831.58x = 4,243.32 × 2,484.09
  4. Step 4: Simplify right side
    2,831.58x = 10,540,788.78
  5. Step 5: Solve for x
    x = 10,540,788.78/2,831.58
  6. Step 6: Final answer
    x = 3,722.58

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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.