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Finding the Fourth Proportional to 1,622.37, 2,238.71 and 914.20

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Solution

The fourth proportional to 1,622.37, 2,238.71 and 914.20 is: 1,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.37 : 2,238.71 = 914.20 : x
  2. Step 2: Convert to fraction form
    1,622.37/2,238.71 = 914.20/x
  3. Step 3: Cross multiply
    1,622.37x = 2,238.71 × 914.20
  4. Step 4: Simplify right side
    1,622.37x = 2,046,628.68
  5. Step 5: Solve for x
    x = 2,046,628.68/1,622.37
  6. Step 6: Final answer
    x = 1,261.51

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Why These Related Problems?

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