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Finding the Fourth Proportional to 3,056.42, 4,217.84 and 1,659.17

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Solution

The fourth proportional to 3,056.42, 4,217.84 and 1,659.17 is: 2,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.42 : 4,217.84 = 1,659.17 : x
  2. Step 2: Convert to fraction form
    3,056.42/4,217.84 = 1,659.17/x
  3. Step 3: Cross multiply
    3,056.42x = 4,217.84 × 1,659.17
  4. Step 4: Simplify right side
    3,056.42x = 6,998,105.30
  5. Step 5: Solve for x
    x = 6,998,105.30/3,056.42
  6. Step 6: Final answer
    x = 2,289.64

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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.