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Finding the Fourth Proportional to 3,086.32, 4,259.10 and 1,689.07

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Solution

The fourth proportional to 3,086.32, 4,259.10 and 1,689.07 is: 2,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.32 : 4,259.10 = 1,689.07 : x
  2. Step 2: Convert to fraction form
    3,086.32/4,259.10 = 1,689.07/x
  3. Step 3: Cross multiply
    3,086.32x = 4,259.10 × 1,689.07
  4. Step 4: Simplify right side
    3,086.32x = 7,193,918.04
  5. Step 5: Solve for x
    x = 7,193,918.04/3,086.32
  6. Step 6: Final answer
    x = 2,330.90

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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.