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Finding the Fourth Proportional to 2,777.97, 4,156.52 and 1,546.28

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Solution

The fourth proportional to 2,777.97, 4,156.52 and 1,546.28 is: 2,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.97 : 4,156.52 = 1,546.28 : x
  2. Step 2: Convert to fraction form
    2,777.97/4,156.52 = 1,546.28/x
  3. Step 3: Cross multiply
    2,777.97x = 4,156.52 × 1,546.28
  4. Step 4: Simplify right side
    2,777.97x = 6,427,115.23
  5. Step 5: Solve for x
    x = 6,427,115.23/2,777.97
  6. Step 6: Final answer
    x = 2,313.60

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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.