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Finding the Fourth Proportional to 2,222.32, 3,333.49 and 761.48

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Solution

The fourth proportional to 2,222.32, 3,333.49 and 761.48 is: 1,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.32 : 3,333.49 = 761.48 : x
  2. Step 2: Convert to fraction form
    2,222.32/3,333.49 = 761.48/x
  3. Step 3: Cross multiply
    2,222.32x = 3,333.49 × 761.48
  4. Step 4: Simplify right side
    2,222.32x = 2,538,385.97
  5. Step 5: Solve for x
    x = 2,538,385.97/2,222.32
  6. Step 6: Final answer
    x = 1,142.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.