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Finding the Fourth Proportional to 2,193.94, 3,290.10 and 1,849.69

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Solution

The fourth proportional to 2,193.94, 3,290.10 and 1,849.69 is: 2,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.94 : 3,290.10 = 1,849.69 : x
  2. Step 2: Convert to fraction form
    2,193.94/3,290.10 = 1,849.69/x
  3. Step 3: Cross multiply
    2,193.94x = 3,290.10 × 1,849.69
  4. Step 4: Simplify right side
    2,193.94x = 6,085,665.07
  5. Step 5: Solve for x
    x = 6,085,665.07/2,193.94
  6. Step 6: Final answer
    x = 2,773.85

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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.