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Finding the Fourth Proportional to 2,324.88, 3,486.51 and 937.86

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Solution

The fourth proportional to 2,324.88, 3,486.51 and 937.86 is: 1,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.88 : 3,486.51 = 937.86 : x
  2. Step 2: Convert to fraction form
    2,324.88/3,486.51 = 937.86/x
  3. Step 3: Cross multiply
    2,324.88x = 3,486.51 × 937.86
  4. Step 4: Simplify right side
    2,324.88x = 3,269,858.27
  5. Step 5: Solve for x
    x = 3,269,858.27/2,324.88
  6. Step 6: Final answer
    x = 1,406.46

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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.