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Finding the Fourth Proportional to 2,222.54, 3,334.11 and 761.50

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Solution

The fourth proportional to 2,222.54, 3,334.11 and 761.50 is: 1,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.54 : 3,334.11 = 761.50 : x
  2. Step 2: Convert to fraction form
    2,222.54/3,334.11 = 761.50/x
  3. Step 3: Cross multiply
    2,222.54x = 3,334.11 × 761.50
  4. Step 4: Simplify right side
    2,222.54x = 2,538,930.36
  5. Step 5: Solve for x
    x = 2,538,930.36/2,222.54
  6. Step 6: Final answer
    x = 1,142.36

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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.