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Finding the Fourth Proportional to 2,642.70, 3,964.58 and 911.10

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Solution

The fourth proportional to 2,642.70, 3,964.58 and 911.10 is: 1,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.70 : 3,964.58 = 911.10 : x
  2. Step 2: Convert to fraction form
    2,642.70/3,964.58 = 911.10/x
  3. Step 3: Cross multiply
    2,642.70x = 3,964.58 × 911.10
  4. Step 4: Simplify right side
    2,642.70x = 3,612,128.84
  5. Step 5: Solve for x
    x = 3,612,128.84/2,642.70
  6. Step 6: Final answer
    x = 1,366.83

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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.