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Finding the Fourth Proportional to 1,912.79, 2,866.78 and 815.87

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Solution

The fourth proportional to 1,912.79, 2,866.78 and 815.87 is: 1,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.79 : 2,866.78 = 815.87 : x
  2. Step 2: Convert to fraction form
    1,912.79/2,866.78 = 815.87/x
  3. Step 3: Cross multiply
    1,912.79x = 2,866.78 × 815.87
  4. Step 4: Simplify right side
    1,912.79x = 2,338,905.46
  5. Step 5: Solve for x
    x = 2,338,905.46/1,912.79
  6. Step 6: Final answer
    x = 1,222.77

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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.