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Finding the Fourth Proportional to 1,928.00, 2,893.62 and 1,806.50

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Solution

The fourth proportional to 1,928.00, 2,893.62 and 1,806.50 is: 2,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.00 : 2,893.62 = 1,806.50 : x
  2. Step 2: Convert to fraction form
    1,928.00/2,893.62 = 1,806.50/x
  3. Step 3: Cross multiply
    1,928.00x = 2,893.62 × 1,806.50
  4. Step 4: Simplify right side
    1,928.00x = 5,227,338.54
  5. Step 5: Solve for x
    x = 5,227,338.54/1,928.00
  6. Step 6: Final answer
    x = 2,711.27

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Why These Related Problems?

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