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Finding the Fourth Proportional to 1,914.82, 2,869.83 and 817.90

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Solution

The fourth proportional to 1,914.82, 2,869.83 and 817.90 is: 1,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.82 : 2,869.83 = 817.90 : x
  2. Step 2: Convert to fraction form
    1,914.82/2,869.83 = 817.90/x
  3. Step 3: Cross multiply
    1,914.82x = 2,869.83 × 817.90
  4. Step 4: Simplify right side
    1,914.82x = 2,347,226.78
  5. Step 5: Solve for x
    x = 2,347,226.78/1,914.82
  6. Step 6: Final answer
    x = 1,225.82

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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.