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Finding the Fourth Proportional to 1,962.92, 2,709.20 and 1,166.69

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Solution

The fourth proportional to 1,962.92, 2,709.20 and 1,166.69 is: 1,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.92 : 2,709.20 = 1,166.69 : x
  2. Step 2: Convert to fraction form
    1,962.92/2,709.20 = 1,166.69/x
  3. Step 3: Cross multiply
    1,962.92x = 2,709.20 × 1,166.69
  4. Step 4: Simplify right side
    1,962.92x = 3,160,777.17
  5. Step 5: Solve for x
    x = 3,160,777.17/1,962.92
  6. Step 6: Final answer
    x = 1,610.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.