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Finding the Fourth Proportional to 2,222.21, 3,333.38 and 761.34

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Solution

The fourth proportional to 2,222.21, 3,333.38 and 761.34 is: 1,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.21 : 3,333.38 = 761.34 : x
  2. Step 2: Convert to fraction form
    2,222.21/3,333.38 = 761.34/x
  3. Step 3: Cross multiply
    2,222.21x = 3,333.38 × 761.34
  4. Step 4: Simplify right side
    2,222.21x = 2,537,835.53
  5. Step 5: Solve for x
    x = 2,537,835.53/2,222.21
  6. Step 6: Final answer
    x = 1,142.03

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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.