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Finding the Fourth Proportional to 1,621.64, 2,238.03 and 992.59

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Solution

The fourth proportional to 1,621.64, 2,238.03 and 992.59 is: 1,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.64 : 2,238.03 = 992.59 : x
  2. Step 2: Convert to fraction form
    1,621.64/2,238.03 = 992.59/x
  3. Step 3: Cross multiply
    1,621.64x = 2,238.03 × 992.59
  4. Step 4: Simplify right side
    1,621.64x = 2,221,435.88
  5. Step 5: Solve for x
    x = 2,221,435.88/1,621.64
  6. Step 6: Final answer
    x = 1,369.87

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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.