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Finding the Fourth Proportional to 2,225.94, 3,339.96 and 993.24

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Solution

The fourth proportional to 2,225.94, 3,339.96 and 993.24 is: 1,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.94 : 3,339.96 = 993.24 : x
  2. Step 2: Convert to fraction form
    2,225.94/3,339.96 = 993.24/x
  3. Step 3: Cross multiply
    2,225.94x = 3,339.96 × 993.24
  4. Step 4: Simplify right side
    2,225.94x = 3,317,381.87
  5. Step 5: Solve for x
    x = 3,317,381.87/2,225.94
  6. Step 6: Final answer
    x = 1,490.33

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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.