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Finding the Fourth Proportional to 2,777.97, 4,146.68 and 2,427.66

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Solution

The fourth proportional to 2,777.97, 4,146.68 and 2,427.66 is: 3,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.97 : 4,146.68 = 2,427.66 : x
  2. Step 2: Convert to fraction form
    2,777.97/4,146.68 = 2,427.66/x
  3. Step 3: Cross multiply
    2,777.97x = 4,146.68 × 2,427.66
  4. Step 4: Simplify right side
    2,777.97x = 10,066,729.17
  5. Step 5: Solve for x
    x = 10,066,729.17/2,777.97
  6. Step 6: Final answer
    x = 3,623.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.