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Finding the Fourth Proportional to 2,781.47, 3,837.96 and 1,662.86

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Solution

The fourth proportional to 2,781.47, 3,837.96 and 1,662.86 is: 2,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.47 : 3,837.96 = 1,662.86 : x
  2. Step 2: Convert to fraction form
    2,781.47/3,837.96 = 1,662.86/x
  3. Step 3: Cross multiply
    2,781.47x = 3,837.96 × 1,662.86
  4. Step 4: Simplify right side
    2,781.47x = 6,381,970.98
  5. Step 5: Solve for x
    x = 6,381,970.98/2,781.47
  6. Step 6: Final answer
    x = 2,294.46

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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.