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Finding the Fourth Proportional to 2,705.39, 4,052.92 and 1,606.42

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Solution

The fourth proportional to 2,705.39, 4,052.92 and 1,606.42 is: 2,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.39 : 4,052.92 = 1,606.42 : x
  2. Step 2: Convert to fraction form
    2,705.39/4,052.92 = 1,606.42/x
  3. Step 3: Cross multiply
    2,705.39x = 4,052.92 × 1,606.42
  4. Step 4: Simplify right side
    2,705.39x = 6,510,691.75
  5. Step 5: Solve for x
    x = 6,510,691.75/2,705.39
  6. Step 6: Final answer
    x = 2,406.56

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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.