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Finding the Fourth Proportional to 2,296.69, 3,445.17 and 757.69

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Solution

The fourth proportional to 2,296.69, 3,445.17 and 757.69 is: 1,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.69 : 3,445.17 = 757.69 : x
  2. Step 2: Convert to fraction form
    2,296.69/3,445.17 = 757.69/x
  3. Step 3: Cross multiply
    2,296.69x = 3,445.17 × 757.69
  4. Step 4: Simplify right side
    2,296.69x = 2,610,359.40
  5. Step 5: Solve for x
    x = 2,610,359.40/2,296.69
  6. Step 6: Final answer
    x = 1,136.58

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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.