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Finding the Fourth Proportional to 2,777.78, 4,165.97 and 1,134.02

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Solution

The fourth proportional to 2,777.78, 4,165.97 and 1,134.02 is: 1,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.78 : 4,165.97 = 1,134.02 : x
  2. Step 2: Convert to fraction form
    2,777.78/4,165.97 = 1,134.02/x
  3. Step 3: Cross multiply
    2,777.78x = 4,165.97 × 1,134.02
  4. Step 4: Simplify right side
    2,777.78x = 4,724,298.04
  5. Step 5: Solve for x
    x = 4,724,298.04/2,777.78
  6. Step 6: Final answer
    x = 1,700.74

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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.