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Finding the Fourth Proportional to 2,308.05, 3,461.27 and 664.15

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Solution

The fourth proportional to 2,308.05, 3,461.27 and 664.15 is: 995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.05 : 3,461.27 = 664.15 : x
  2. Step 2: Convert to fraction form
    2,308.05/3,461.27 = 664.15/x
  3. Step 3: Cross multiply
    2,308.05x = 3,461.27 × 664.15
  4. Step 4: Simplify right side
    2,308.05x = 2,298,802.47
  5. Step 5: Solve for x
    x = 2,298,802.47/2,308.05
  6. Step 6: Final answer
    x = 995.99

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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.