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Finding the Fourth Proportional to 2,369.78, 3,272.21 and 2,120.66

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Solution

The fourth proportional to 2,369.78, 3,272.21 and 2,120.66 is: 2,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.78 : 3,272.21 = 2,120.66 : x
  2. Step 2: Convert to fraction form
    2,369.78/3,272.21 = 2,120.66/x
  3. Step 3: Cross multiply
    2,369.78x = 3,272.21 × 2,120.66
  4. Step 4: Simplify right side
    2,369.78x = 6,939,244.86
  5. Step 5: Solve for x
    x = 6,939,244.86/2,369.78
  6. Step 6: Final answer
    x = 2,928.22

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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.