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Finding the Fourth Proportional to 2,222.57, 3,334.26 and 761.40

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Solution

The fourth proportional to 2,222.57, 3,334.26 and 761.40 is: 1,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.57 : 3,334.26 = 761.40 : x
  2. Step 2: Convert to fraction form
    2,222.57/3,334.26 = 761.40/x
  3. Step 3: Cross multiply
    2,222.57x = 3,334.26 × 761.40
  4. Step 4: Simplify right side
    2,222.57x = 2,538,708.42
  5. Step 5: Solve for x
    x = 2,538,708.42/2,222.57
  6. Step 6: Final answer
    x = 1,142.24

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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.