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Finding the Fourth Proportional to 1,656.22, 2,285.09 and 992.83

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Solution

The fourth proportional to 1,656.22, 2,285.09 and 992.83 is: 1,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.22 : 2,285.09 = 992.83 : x
  2. Step 2: Convert to fraction form
    1,656.22/2,285.09 = 992.83/x
  3. Step 3: Cross multiply
    1,656.22x = 2,285.09 × 992.83
  4. Step 4: Simplify right side
    1,656.22x = 2,268,709.14
  5. Step 5: Solve for x
    x = 2,268,709.14/1,656.22
  6. Step 6: Final answer
    x = 1,369.81

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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.