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Finding the Fourth Proportional to 2,269.52, 3,403.21 and 952.99

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Solution

The fourth proportional to 2,269.52, 3,403.21 and 952.99 is: 1,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.52 : 3,403.21 = 952.99 : x
  2. Step 2: Convert to fraction form
    2,269.52/3,403.21 = 952.99/x
  3. Step 3: Cross multiply
    2,269.52x = 3,403.21 × 952.99
  4. Step 4: Simplify right side
    2,269.52x = 3,243,222.55
  5. Step 5: Solve for x
    x = 3,243,222.55/2,269.52
  6. Step 6: Final answer
    x = 1,429.04

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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.