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Finding the Fourth Proportional to 3,049.49, 4,575.77 and 1,201.93

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Solution

The fourth proportional to 3,049.49, 4,575.77 and 1,201.93 is: 1,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.49 : 4,575.77 = 1,201.93 : x
  2. Step 2: Convert to fraction form
    3,049.49/4,575.77 = 1,201.93/x
  3. Step 3: Cross multiply
    3,049.49x = 4,575.77 × 1,201.93
  4. Step 4: Simplify right side
    3,049.49x = 5,499,774.79
  5. Step 5: Solve for x
    x = 5,499,774.79/3,049.49
  6. Step 6: Final answer
    x = 1,803.50

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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.