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Finding the Fourth Proportional to 1,216.26, 1,823.24 and 919.31

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Solution

The fourth proportional to 1,216.26, 1,823.24 and 919.31 is: 1,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.26 : 1,823.24 = 919.31 : x
  2. Step 2: Convert to fraction form
    1,216.26/1,823.24 = 919.31/x
  3. Step 3: Cross multiply
    1,216.26x = 1,823.24 × 919.31
  4. Step 4: Simplify right side
    1,216.26x = 1,676,129.62
  5. Step 5: Solve for x
    x = 1,676,129.62/1,216.26
  6. Step 6: Final answer
    x = 1,378.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.