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Finding the Fourth Proportional to 2,226.24, 3,336.93 and 1,494

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Solution

The fourth proportional to 2,226.24, 3,336.93 and 1,494 is: 2,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.24 : 3,336.93 = 1,494 : x
  2. Step 2: Convert to fraction form
    2,226.24/3,336.93 = 1,494/x
  3. Step 3: Cross multiply
    2,226.24x = 3,336.93 × 1,494
  4. Step 4: Simplify right side
    2,226.24x = 4,985,373.42
  5. Step 5: Solve for x
    x = 4,985,373.42/2,226.24
  6. Step 6: Final answer
    x = 2,239.37

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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.