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Finding the Fourth Proportional to 1,909.68, 2,859.40 and 1,086.72

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Solution

The fourth proportional to 1,909.68, 2,859.40 and 1,086.72 is: 1,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.68 : 2,859.40 = 1,086.72 : x
  2. Step 2: Convert to fraction form
    1,909.68/2,859.40 = 1,086.72/x
  3. Step 3: Cross multiply
    1,909.68x = 2,859.40 × 1,086.72
  4. Step 4: Simplify right side
    1,909.68x = 3,107,367.17
  5. Step 5: Solve for x
    x = 3,107,367.17/1,909.68
  6. Step 6: Final answer
    x = 1,627.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.