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Finding the Fourth Proportional to 2,239.41, 3,359.13 and 940.86

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Solution

The fourth proportional to 2,239.41, 3,359.13 and 940.86 is: 1,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.41 : 3,359.13 = 940.86 : x
  2. Step 2: Convert to fraction form
    2,239.41/3,359.13 = 940.86/x
  3. Step 3: Cross multiply
    2,239.41x = 3,359.13 × 940.86
  4. Step 4: Simplify right side
    2,239.41x = 3,160,471.05
  5. Step 5: Solve for x
    x = 3,160,471.05/2,239.41
  6. Step 6: Final answer
    x = 1,411.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.