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Finding the Fourth Proportional to 3,059.42, 4,221.91 and 1,662.17

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Solution

The fourth proportional to 3,059.42, 4,221.91 and 1,662.17 is: 2,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.42 : 4,221.91 = 1,662.17 : x
  2. Step 2: Convert to fraction form
    3,059.42/4,221.91 = 1,662.17/x
  3. Step 3: Cross multiply
    3,059.42x = 4,221.91 × 1,662.17
  4. Step 4: Simplify right side
    3,059.42x = 7,017,532.14
  5. Step 5: Solve for x
    x = 7,017,532.14/3,059.42
  6. Step 6: Final answer
    x = 2,293.75

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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.