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Finding the Fourth Proportional to 2,405.69, 3,604.09 and 1,665.35

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Solution

The fourth proportional to 2,405.69, 3,604.09 and 1,665.35 is: 2,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.69 : 3,604.09 = 1,665.35 : x
  2. Step 2: Convert to fraction form
    2,405.69/3,604.09 = 1,665.35/x
  3. Step 3: Cross multiply
    2,405.69x = 3,604.09 × 1,665.35
  4. Step 4: Simplify right side
    2,405.69x = 6,002,071.28
  5. Step 5: Solve for x
    x = 6,002,071.28/2,405.69
  6. Step 6: Final answer
    x = 2,494.95

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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.