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Finding the Fourth Proportional to 3,343.42, 5,015.22 and 1,697.74

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Solution

The fourth proportional to 3,343.42, 5,015.22 and 1,697.74 is: 2,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.42 : 5,015.22 = 1,697.74 : x
  2. Step 2: Convert to fraction form
    3,343.42/5,015.22 = 1,697.74/x
  3. Step 3: Cross multiply
    3,343.42x = 5,015.22 × 1,697.74
  4. Step 4: Simplify right side
    3,343.42x = 8,514,539.60
  5. Step 5: Solve for x
    x = 8,514,539.60/3,343.42
  6. Step 6: Final answer
    x = 2,546.66

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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.