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Finding the Fourth Proportional to 4,071.78, 6,103.56 and 1,605.24

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Solution

The fourth proportional to 4,071.78, 6,103.56 and 1,605.24 is: 2,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.78 : 6,103.56 = 1,605.24 : x
  2. Step 2: Convert to fraction form
    4,071.78/6,103.56 = 1,605.24/x
  3. Step 3: Cross multiply
    4,071.78x = 6,103.56 × 1,605.24
  4. Step 4: Simplify right side
    4,071.78x = 9,797,678.65
  5. Step 5: Solve for x
    x = 9,797,678.65/4,071.78
  6. Step 6: Final answer
    x = 2,406.24

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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.