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Finding the Fourth Proportional to 2,781.81, 4,172.82 and 1,902.22

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Solution

The fourth proportional to 2,781.81, 4,172.82 and 1,902.22 is: 2,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.81 : 4,172.82 = 1,902.22 : x
  2. Step 2: Convert to fraction form
    2,781.81/4,172.82 = 1,902.22/x
  3. Step 3: Cross multiply
    2,781.81x = 4,172.82 × 1,902.22
  4. Step 4: Simplify right side
    2,781.81x = 7,937,604.10
  5. Step 5: Solve for x
    x = 7,937,604.10/2,781.81
  6. Step 6: Final answer
    x = 2,853.40

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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.