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Finding the Fourth Proportional to 3,296.69, 4,946.06 and 1,449.35

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Solution

The fourth proportional to 3,296.69, 4,946.06 and 1,449.35 is: 2,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.69 : 4,946.06 = 1,449.35 : x
  2. Step 2: Convert to fraction form
    3,296.69/4,946.06 = 1,449.35/x
  3. Step 3: Cross multiply
    3,296.69x = 4,946.06 × 1,449.35
  4. Step 4: Simplify right side
    3,296.69x = 7,168,540.08
  5. Step 5: Solve for x
    x = 7,168,540.08/3,296.69
  6. Step 6: Final answer
    x = 2,174.47

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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.