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Finding the Fourth Proportional to 3,103.05, 4,282.19 and 1,686.70

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Solution

The fourth proportional to 3,103.05, 4,282.19 and 1,686.70 is: 2,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.05 : 4,282.19 = 1,686.70 : x
  2. Step 2: Convert to fraction form
    3,103.05/4,282.19 = 1,686.70/x
  3. Step 3: Cross multiply
    3,103.05x = 4,282.19 × 1,686.70
  4. Step 4: Simplify right side
    3,103.05x = 7,222,768.90
  5. Step 5: Solve for x
    x = 7,222,768.90/3,103.05
  6. Step 6: Final answer
    x = 2,327.64

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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.