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Finding the Fourth Proportional to 2,777.16, 4,165.42 and 725.32

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Solution

The fourth proportional to 2,777.16, 4,165.42 and 725.32 is: 1,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.16 : 4,165.42 = 725.32 : x
  2. Step 2: Convert to fraction form
    2,777.16/4,165.42 = 725.32/x
  3. Step 3: Cross multiply
    2,777.16x = 4,165.42 × 725.32
  4. Step 4: Simplify right side
    2,777.16x = 3,021,262.43
  5. Step 5: Solve for x
    x = 3,021,262.43/2,777.16
  6. Step 6: Final answer
    x = 1,087.90

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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.