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Finding the Fourth Proportional to 2,781.87, 3,839.34 and 1,602.95

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Solution

The fourth proportional to 2,781.87, 3,839.34 and 1,602.95 is: 2,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.87 : 3,839.34 = 1,602.95 : x
  2. Step 2: Convert to fraction form
    2,781.87/3,839.34 = 1,602.95/x
  3. Step 3: Cross multiply
    2,781.87x = 3,839.34 × 1,602.95
  4. Step 4: Simplify right side
    2,781.87x = 6,154,250.86
  5. Step 5: Solve for x
    x = 6,154,250.86/2,781.87
  6. Step 6: Final answer
    x = 2,212.27

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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.