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Finding the Fourth Proportional to 2,777.77, 3,832.23 and 1,598.14

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Solution

The fourth proportional to 2,777.77, 3,832.23 and 1,598.14 is: 2,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.77 : 3,832.23 = 1,598.14 : x
  2. Step 2: Convert to fraction form
    2,777.77/3,832.23 = 1,598.14/x
  3. Step 3: Cross multiply
    2,777.77x = 3,832.23 × 1,598.14
  4. Step 4: Simplify right side
    2,777.77x = 6,124,440.05
  5. Step 5: Solve for x
    x = 6,124,440.05/2,777.77
  6. Step 6: Final answer
    x = 2,204.80

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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.