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Finding the Fourth Proportional to 2,781.69, 3,835.53 and 2,612.18

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Solution

The fourth proportional to 2,781.69, 3,835.53 and 2,612.18 is: 3,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.69 : 3,835.53 = 2,612.18 : x
  2. Step 2: Convert to fraction form
    2,781.69/3,835.53 = 2,612.18/x
  3. Step 3: Cross multiply
    2,781.69x = 3,835.53 × 2,612.18
  4. Step 4: Simplify right side
    2,781.69x = 10,019,075.58
  5. Step 5: Solve for x
    x = 10,019,075.58/2,781.69
  6. Step 6: Final answer
    x = 3,601.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.