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Finding the Fourth Proportional to 3,086.75, 4,259.78 and 1,689.50

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Solution

The fourth proportional to 3,086.75, 4,259.78 and 1,689.50 is: 2,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.75 : 4,259.78 = 1,689.50 : x
  2. Step 2: Convert to fraction form
    3,086.75/4,259.78 = 1,689.50/x
  3. Step 3: Cross multiply
    3,086.75x = 4,259.78 × 1,689.50
  4. Step 4: Simplify right side
    3,086.75x = 7,196,898.31
  5. Step 5: Solve for x
    x = 7,196,898.31/3,086.75
  6. Step 6: Final answer
    x = 2,331.55

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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.