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Finding the Fourth Proportional to 2,144.68, 3,216.71 and 911.45

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Solution

The fourth proportional to 2,144.68, 3,216.71 and 911.45 is: 1,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.68 : 3,216.71 = 911.45 : x
  2. Step 2: Convert to fraction form
    2,144.68/3,216.71 = 911.45/x
  3. Step 3: Cross multiply
    2,144.68x = 3,216.71 × 911.45
  4. Step 4: Simplify right side
    2,144.68x = 2,931,880.65
  5. Step 5: Solve for x
    x = 2,931,880.65/2,144.68
  6. Step 6: Final answer
    x = 1,367.05

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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.