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Finding the Fourth Proportional to 2,777.98, 4,163.37 and 1,132.63

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Solution

The fourth proportional to 2,777.98, 4,163.37 and 1,132.63 is: 1,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.98 : 4,163.37 = 1,132.63 : x
  2. Step 2: Convert to fraction form
    2,777.98/4,163.37 = 1,132.63/x
  3. Step 3: Cross multiply
    2,777.98x = 4,163.37 × 1,132.63
  4. Step 4: Simplify right side
    2,777.98x = 4,715,557.76
  5. Step 5: Solve for x
    x = 4,715,557.76/2,777.98
  6. Step 6: Final answer
    x = 1,697.48

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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.