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Finding the Fourth Proportional to 2,775.81, 4,161.66 and 1,313.25

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Solution

The fourth proportional to 2,775.81, 4,161.66 and 1,313.25 is: 1,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.81 : 4,161.66 = 1,313.25 : x
  2. Step 2: Convert to fraction form
    2,775.81/4,161.66 = 1,313.25/x
  3. Step 3: Cross multiply
    2,775.81x = 4,161.66 × 1,313.25
  4. Step 4: Simplify right side
    2,775.81x = 5,465,300.00
  5. Step 5: Solve for x
    x = 5,465,300.00/2,775.81
  6. Step 6: Final answer
    x = 1,968.90

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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.