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Finding the Fourth Proportional to 3,301.86, 4,951.44 and 1,221.99

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Solution

The fourth proportional to 3,301.86, 4,951.44 and 1,221.99 is: 1,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.86 : 4,951.44 = 1,221.99 : x
  2. Step 2: Convert to fraction form
    3,301.86/4,951.44 = 1,221.99/x
  3. Step 3: Cross multiply
    3,301.86x = 4,951.44 × 1,221.99
  4. Step 4: Simplify right side
    3,301.86x = 6,050,610.17
  5. Step 5: Solve for x
    x = 6,050,610.17/3,301.86
  6. Step 6: Final answer
    x = 1,832.49

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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.