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Finding the Fourth Proportional to 2,133.83, 3,198.80 and 1,806.87

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Solution

The fourth proportional to 2,133.83, 3,198.80 and 1,806.87 is: 2,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.83 : 3,198.80 = 1,806.87 : x
  2. Step 2: Convert to fraction form
    2,133.83/3,198.80 = 1,806.87/x
  3. Step 3: Cross multiply
    2,133.83x = 3,198.80 × 1,806.87
  4. Step 4: Simplify right side
    2,133.83x = 5,779,806.72
  5. Step 5: Solve for x
    x = 5,779,806.72/2,133.83
  6. Step 6: Final answer
    x = 2,708.65

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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.