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Finding the Fourth Proportional to 2,772.54, 3,825.77 and 1,577.68

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Solution

The fourth proportional to 2,772.54, 3,825.77 and 1,577.68 is: 2,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.54 : 3,825.77 = 1,577.68 : x
  2. Step 2: Convert to fraction form
    2,772.54/3,825.77 = 1,577.68/x
  3. Step 3: Cross multiply
    2,772.54x = 3,825.77 × 1,577.68
  4. Step 4: Simplify right side
    2,772.54x = 6,035,840.81
  5. Step 5: Solve for x
    x = 6,035,840.81/2,772.54
  6. Step 6: Final answer
    x = 2,177.01

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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.