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Finding the Fourth Proportional to 2,145.29, 3,212.49 and 1,797.71

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Solution

The fourth proportional to 2,145.29, 3,212.49 and 1,797.71 is: 2,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.29 : 3,212.49 = 1,797.71 : x
  2. Step 2: Convert to fraction form
    2,145.29/3,212.49 = 1,797.71/x
  3. Step 3: Cross multiply
    2,145.29x = 3,212.49 × 1,797.71
  4. Step 4: Simplify right side
    2,145.29x = 5,775,125.40
  5. Step 5: Solve for x
    x = 5,775,125.40/2,145.29
  6. Step 6: Final answer
    x = 2,692.00

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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.