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Finding the Fourth Proportional to 1,902.17, 2,849.22 and 1,241.71

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Solution

The fourth proportional to 1,902.17, 2,849.22 and 1,241.71 is: 1,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.17 : 2,849.22 = 1,241.71 : x
  2. Step 2: Convert to fraction form
    1,902.17/2,849.22 = 1,241.71/x
  3. Step 3: Cross multiply
    1,902.17x = 2,849.22 × 1,241.71
  4. Step 4: Simplify right side
    1,902.17x = 3,537,903.87
  5. Step 5: Solve for x
    x = 3,537,903.87/1,902.17
  6. Step 6: Final answer
    x = 1,859.93

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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.