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Finding the Fourth Proportional to 2,775.67, 4,161.45 and 1,313.11

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Solution

The fourth proportional to 2,775.67, 4,161.45 and 1,313.11 is: 1,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.67 : 4,161.45 = 1,313.11 : x
  2. Step 2: Convert to fraction form
    2,775.67/4,161.45 = 1,313.11/x
  3. Step 3: Cross multiply
    2,775.67x = 4,161.45 × 1,313.11
  4. Step 4: Simplify right side
    2,775.67x = 5,464,431.21
  5. Step 5: Solve for x
    x = 5,464,431.21/2,775.67
  6. Step 6: Final answer
    x = 1,968.69

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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.