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Finding the Fourth Proportional to 3,086.76, 4,259.72 and 1,689.50

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Solution

The fourth proportional to 3,086.76, 4,259.72 and 1,689.50 is: 2,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.76 : 4,259.72 = 1,689.50 : x
  2. Step 2: Convert to fraction form
    3,086.76/4,259.72 = 1,689.50/x
  3. Step 3: Cross multiply
    3,086.76x = 4,259.72 × 1,689.50
  4. Step 4: Simplify right side
    3,086.76x = 7,196,796.94
  5. Step 5: Solve for x
    x = 7,196,796.94/3,086.76
  6. Step 6: Final answer
    x = 2,331.51

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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.