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Finding the Fourth Proportional to 3,103, 4,282.14 and 1,705.75

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Solution

The fourth proportional to 3,103, 4,282.14 and 1,705.75 is: 2,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103 : 4,282.14 = 1,705.75 : x
  2. Step 2: Convert to fraction form
    3,103/4,282.14 = 1,705.75/x
  3. Step 3: Cross multiply
    3,103x = 4,282.14 × 1,705.75
  4. Step 4: Simplify right side
    3,103x = 7,304,260.31
  5. Step 5: Solve for x
    x = 7,304,260.31/3,103
  6. Step 6: Final answer
    x = 2,353.94

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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.