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Finding the Fourth Proportional to 3,059.39, 4,221.93 and 1,662.14

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Solution

The fourth proportional to 3,059.39, 4,221.93 and 1,662.14 is: 2,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.39 : 4,221.93 = 1,662.14 : x
  2. Step 2: Convert to fraction form
    3,059.39/4,221.93 = 1,662.14/x
  3. Step 3: Cross multiply
    3,059.39x = 4,221.93 × 1,662.14
  4. Step 4: Simplify right side
    3,059.39x = 7,017,449.29
  5. Step 5: Solve for x
    x = 7,017,449.29/3,059.39
  6. Step 6: Final answer
    x = 2,293.74

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Why These Related Problems?

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