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Finding the Fourth Proportional to 2,935.97, 4,051.49 and 1,609.64

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Solution

The fourth proportional to 2,935.97, 4,051.49 and 1,609.64 is: 2,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.97 : 4,051.49 = 1,609.64 : x
  2. Step 2: Convert to fraction form
    2,935.97/4,051.49 = 1,609.64/x
  3. Step 3: Cross multiply
    2,935.97x = 4,051.49 × 1,609.64
  4. Step 4: Simplify right side
    2,935.97x = 6,521,440.36
  5. Step 5: Solve for x
    x = 6,521,440.36/2,935.97
  6. Step 6: Final answer
    x = 2,221.22

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