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Finding the Fourth Proportional to 4,071.69, 6,103.43 and 1,605.55

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Solution

The fourth proportional to 4,071.69, 6,103.43 and 1,605.55 is: 2,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.69 : 6,103.43 = 1,605.55 : x
  2. Step 2: Convert to fraction form
    4,071.69/6,103.43 = 1,605.55/x
  3. Step 3: Cross multiply
    4,071.69x = 6,103.43 × 1,605.55
  4. Step 4: Simplify right side
    4,071.69x = 9,799,354.01
  5. Step 5: Solve for x
    x = 9,799,354.01/4,071.69
  6. Step 6: Final answer
    x = 2,406.71

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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.