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Finding the Fourth Proportional to 2,222.84, 3,334.26 and 762.01

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Solution

The fourth proportional to 2,222.84, 3,334.26 and 762.01 is: 1,143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.84 : 3,334.26 = 762.01 : x
  2. Step 2: Convert to fraction form
    2,222.84/3,334.26 = 762.01/x
  3. Step 3: Cross multiply
    2,222.84x = 3,334.26 × 762.01
  4. Step 4: Simplify right side
    2,222.84x = 2,540,733.98
  5. Step 5: Solve for x
    x = 2,540,733.98/2,222.84
  6. Step 6: Final answer
    x = 1,143.01

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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.