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Finding the Fourth Proportional to 2,222.38, 3,334.08 and 761.53

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Solution

The fourth proportional to 2,222.38, 3,334.08 and 761.53 is: 1,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.38 : 3,334.08 = 761.53 : x
  2. Step 2: Convert to fraction form
    2,222.38/3,334.08 = 761.53/x
  3. Step 3: Cross multiply
    2,222.38x = 3,334.08 × 761.53
  4. Step 4: Simplify right side
    2,222.38x = 2,539,001.94
  5. Step 5: Solve for x
    x = 2,539,001.94/2,222.38
  6. Step 6: Final answer
    x = 1,142.47

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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.