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Finding the Fourth Proportional to 2,628.76, 3,940.68 and 1,167.10

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Solution

The fourth proportional to 2,628.76, 3,940.68 and 1,167.10 is: 1,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.76 : 3,940.68 = 1,167.10 : x
  2. Step 2: Convert to fraction form
    2,628.76/3,940.68 = 1,167.10/x
  3. Step 3: Cross multiply
    2,628.76x = 3,940.68 × 1,167.10
  4. Step 4: Simplify right side
    2,628.76x = 4,599,167.63
  5. Step 5: Solve for x
    x = 4,599,167.63/2,628.76
  6. Step 6: Final answer
    x = 1,749.56

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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.