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Finding the Fourth Proportional to 2,342.46, 3,233.94 and 1,459.44

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Solution

The fourth proportional to 2,342.46, 3,233.94 and 1,459.44 is: 2,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.46 : 3,233.94 = 1,459.44 : x
  2. Step 2: Convert to fraction form
    2,342.46/3,233.94 = 1,459.44/x
  3. Step 3: Cross multiply
    2,342.46x = 3,233.94 × 1,459.44
  4. Step 4: Simplify right side
    2,342.46x = 4,719,741.39
  5. Step 5: Solve for x
    x = 4,719,741.39/2,342.46
  6. Step 6: Final answer
    x = 2,014.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.