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Finding the Fourth Proportional to 2,307.69, 3,461.66 and 664.20

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Solution

The fourth proportional to 2,307.69, 3,461.66 and 664.20 is: 996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.69 : 3,461.66 = 664.20 : x
  2. Step 2: Convert to fraction form
    2,307.69/3,461.66 = 664.20/x
  3. Step 3: Cross multiply
    2,307.69x = 3,461.66 × 664.20
  4. Step 4: Simplify right side
    2,307.69x = 2,299,231.25
  5. Step 5: Solve for x
    x = 2,299,231.25/2,307.69
  6. Step 6: Final answer
    x = 996.33

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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.