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Finding the Fourth Proportional to 3,086.44, 4,259.28 and 1,689.19

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Solution

The fourth proportional to 3,086.44, 4,259.28 and 1,689.19 is: 2,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.44 : 4,259.28 = 1,689.19 : x
  2. Step 2: Convert to fraction form
    3,086.44/4,259.28 = 1,689.19/x
  3. Step 3: Cross multiply
    3,086.44x = 4,259.28 × 1,689.19
  4. Step 4: Simplify right side
    3,086.44x = 7,194,728.87
  5. Step 5: Solve for x
    x = 7,194,728.87/3,086.44
  6. Step 6: Final answer
    x = 2,331.08

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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.