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Finding the Fourth Proportional to 3,203.40, 4,422.42 and 2,214

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Solution

The fourth proportional to 3,203.40, 4,422.42 and 2,214 is: 3,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.40 : 4,422.42 = 2,214 : x
  2. Step 2: Convert to fraction form
    3,203.40/4,422.42 = 2,214/x
  3. Step 3: Cross multiply
    3,203.40x = 4,422.42 × 2,214
  4. Step 4: Simplify right side
    3,203.40x = 9,791,237.88
  5. Step 5: Solve for x
    x = 9,791,237.88/3,203.40
  6. Step 6: Final answer
    x = 3,056.51

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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.