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Finding the Fourth Proportional to 2,781.77, 4,172.25 and 1,548.41

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Solution

The fourth proportional to 2,781.77, 4,172.25 and 1,548.41 is: 2,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.77 : 4,172.25 = 1,548.41 : x
  2. Step 2: Convert to fraction form
    2,781.77/4,172.25 = 1,548.41/x
  3. Step 3: Cross multiply
    2,781.77x = 4,172.25 × 1,548.41
  4. Step 4: Simplify right side
    2,781.77x = 6,460,353.62
  5. Step 5: Solve for x
    x = 6,460,353.62/2,781.77
  6. Step 6: Final answer
    x = 2,322.39

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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.