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Finding the Fourth Proportional to 2,269.26, 3,404.85 and 953.31

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Solution

The fourth proportional to 2,269.26, 3,404.85 and 953.31 is: 1,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.26 : 3,404.85 = 953.31 : x
  2. Step 2: Convert to fraction form
    2,269.26/3,404.85 = 953.31/x
  3. Step 3: Cross multiply
    2,269.26x = 3,404.85 × 953.31
  4. Step 4: Simplify right side
    2,269.26x = 3,245,877.55
  5. Step 5: Solve for x
    x = 3,245,877.55/2,269.26
  6. Step 6: Final answer
    x = 1,430.37

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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.