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Finding the Fourth Proportional to 1,914.73, 2,869.59 and 859.75

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Solution

The fourth proportional to 1,914.73, 2,869.59 and 859.75 is: 1,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.73 : 2,869.59 = 859.75 : x
  2. Step 2: Convert to fraction form
    1,914.73/2,869.59 = 859.75/x
  3. Step 3: Cross multiply
    1,914.73x = 2,869.59 × 859.75
  4. Step 4: Simplify right side
    1,914.73x = 2,467,134.53
  5. Step 5: Solve for x
    x = 2,467,134.53/1,914.73
  6. Step 6: Final answer
    x = 1,288.51

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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.