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Finding the Fourth Proportional to 2,775.40, 4,163.10 and 1,131.10

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Solution

The fourth proportional to 2,775.40, 4,163.10 and 1,131.10 is: 1,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.40 : 4,163.10 = 1,131.10 : x
  2. Step 2: Convert to fraction form
    2,775.40/4,163.10 = 1,131.10/x
  3. Step 3: Cross multiply
    2,775.40x = 4,163.10 × 1,131.10
  4. Step 4: Simplify right side
    2,775.40x = 4,708,882.41
  5. Step 5: Solve for x
    x = 4,708,882.41/2,775.40
  6. Step 6: Final answer
    x = 1,696.65

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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.