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Finding the Fourth Proportional to 2,911.61, 4,367.87 and 964.27

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Solution

The fourth proportional to 2,911.61, 4,367.87 and 964.27 is: 1,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.61 : 4,367.87 = 964.27 : x
  2. Step 2: Convert to fraction form
    2,911.61/4,367.87 = 964.27/x
  3. Step 3: Cross multiply
    2,911.61x = 4,367.87 × 964.27
  4. Step 4: Simplify right side
    2,911.61x = 4,211,806.00
  5. Step 5: Solve for x
    x = 4,211,806.00/2,911.61
  6. Step 6: Final answer
    x = 1,446.55

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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.