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Finding the Fourth Proportional to 3,243.73, 4,867.03 and 1,577.11

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Solution

The fourth proportional to 3,243.73, 4,867.03 and 1,577.11 is: 2,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.73 : 4,867.03 = 1,577.11 : x
  2. Step 2: Convert to fraction form
    3,243.73/4,867.03 = 1,577.11/x
  3. Step 3: Cross multiply
    3,243.73x = 4,867.03 × 1,577.11
  4. Step 4: Simplify right side
    3,243.73x = 7,675,809.46
  5. Step 5: Solve for x
    x = 7,675,809.46/3,243.73
  6. Step 6: Final answer
    x = 2,366.36

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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.