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Finding the Fourth Proportional to 2,697.17, 4,046.20 and 942.66

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Solution

The fourth proportional to 2,697.17, 4,046.20 and 942.66 is: 1,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.17 : 4,046.20 = 942.66 : x
  2. Step 2: Convert to fraction form
    2,697.17/4,046.20 = 942.66/x
  3. Step 3: Cross multiply
    2,697.17x = 4,046.20 × 942.66
  4. Step 4: Simplify right side
    2,697.17x = 3,814,188.54
  5. Step 5: Solve for x
    x = 3,814,188.54/2,697.17
  6. Step 6: Final answer
    x = 1,414.15

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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.