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Finding the Fourth Proportional to 3,233.32, 4,849.52 and 1,477.80

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Solution

The fourth proportional to 3,233.32, 4,849.52 and 1,477.80 is: 2,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.32 : 4,849.52 = 1,477.80 : x
  2. Step 2: Convert to fraction form
    3,233.32/4,849.52 = 1,477.80/x
  3. Step 3: Cross multiply
    3,233.32x = 4,849.52 × 1,477.80
  4. Step 4: Simplify right side
    3,233.32x = 7,166,620.66
  5. Step 5: Solve for x
    x = 7,166,620.66/3,233.32
  6. Step 6: Final answer
    x = 2,216.49

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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.