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Finding the Fourth Proportional to 2,238.16, 3,353.72 and 1,889.86

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Solution

The fourth proportional to 2,238.16, 3,353.72 and 1,889.86 is: 2,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.16 : 3,353.72 = 1,889.86 : x
  2. Step 2: Convert to fraction form
    2,238.16/3,353.72 = 1,889.86/x
  3. Step 3: Cross multiply
    2,238.16x = 3,353.72 × 1,889.86
  4. Step 4: Simplify right side
    2,238.16x = 6,338,061.28
  5. Step 5: Solve for x
    x = 6,338,061.28/2,238.16
  6. Step 6: Final answer
    x = 2,831.82

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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.