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Finding the Fourth Proportional to 2,777.26, 4,165.80 and 1,133.82

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Solution

The fourth proportional to 2,777.26, 4,165.80 and 1,133.82 is: 1,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.26 : 4,165.80 = 1,133.82 : x
  2. Step 2: Convert to fraction form
    2,777.26/4,165.80 = 1,133.82/x
  3. Step 3: Cross multiply
    2,777.26x = 4,165.80 × 1,133.82
  4. Step 4: Simplify right side
    2,777.26x = 4,723,267.36
  5. Step 5: Solve for x
    x = 4,723,267.36/2,777.26
  6. Step 6: Final answer
    x = 1,700.69

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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.