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Finding the Fourth Proportional to 3,104.39, 4,284.15 and 1,688.07

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Solution

The fourth proportional to 3,104.39, 4,284.15 and 1,688.07 is: 2,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.39 : 4,284.15 = 1,688.07 : x
  2. Step 2: Convert to fraction form
    3,104.39/4,284.15 = 1,688.07/x
  3. Step 3: Cross multiply
    3,104.39x = 4,284.15 × 1,688.07
  4. Step 4: Simplify right side
    3,104.39x = 7,231,954.83
  5. Step 5: Solve for x
    x = 7,231,954.83/3,104.39
  6. Step 6: Final answer
    x = 2,329.59

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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.