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Finding the Fourth Proportional to 2,936.01, 4,051.62 and 1,609.68

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Solution

The fourth proportional to 2,936.01, 4,051.62 and 1,609.68 is: 2,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.01 : 4,051.62 = 1,609.68 : x
  2. Step 2: Convert to fraction form
    2,936.01/4,051.62 = 1,609.68/x
  3. Step 3: Cross multiply
    2,936.01x = 4,051.62 × 1,609.68
  4. Step 4: Simplify right side
    2,936.01x = 6,521,811.68
  5. Step 5: Solve for x
    x = 6,521,811.68/2,936.01
  6. Step 6: Final answer
    x = 2,221.32

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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.