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Finding the Fourth Proportional to 4,071.33, 6,102.84 and 1,605.15

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Solution

The fourth proportional to 4,071.33, 6,102.84 and 1,605.15 is: 2,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.33 : 6,102.84 = 1,605.15 : x
  2. Step 2: Convert to fraction form
    4,071.33/6,102.84 = 1,605.15/x
  3. Step 3: Cross multiply
    4,071.33x = 6,102.84 × 1,605.15
  4. Step 4: Simplify right side
    4,071.33x = 9,795,979.65
  5. Step 5: Solve for x
    x = 9,795,979.65/4,071.33
  6. Step 6: Final answer
    x = 2,406.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.