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Finding the Fourth Proportional to 2,222.60, 3,334.43 and 761.75

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Solution

The fourth proportional to 2,222.60, 3,334.43 and 761.75 is: 1,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.60 : 3,334.43 = 761.75 : x
  2. Step 2: Convert to fraction form
    2,222.60/3,334.43 = 761.75/x
  3. Step 3: Cross multiply
    2,222.60x = 3,334.43 × 761.75
  4. Step 4: Simplify right side
    2,222.60x = 2,539,999.05
  5. Step 5: Solve for x
    x = 2,539,999.05/2,222.60
  6. Step 6: Final answer
    x = 1,142.81

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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.