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Finding the Fourth Proportional to 2,935.82, 4,051.34 and 1,609.44

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Solution

The fourth proportional to 2,935.82, 4,051.34 and 1,609.44 is: 2,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.82 : 4,051.34 = 1,609.44 : x
  2. Step 2: Convert to fraction form
    2,935.82/4,051.34 = 1,609.44/x
  3. Step 3: Cross multiply
    2,935.82x = 4,051.34 × 1,609.44
  4. Step 4: Simplify right side
    2,935.82x = 6,520,388.65
  5. Step 5: Solve for x
    x = 6,520,388.65/2,935.82
  6. Step 6: Final answer
    x = 2,220.98

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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.