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Finding the Fourth Proportional to 2,262.27, 3,391.58 and 874.90

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Solution

The fourth proportional to 2,262.27, 3,391.58 and 874.90 is: 1,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.27 : 3,391.58 = 874.90 : x
  2. Step 2: Convert to fraction form
    2,262.27/3,391.58 = 874.90/x
  3. Step 3: Cross multiply
    2,262.27x = 3,391.58 × 874.90
  4. Step 4: Simplify right side
    2,262.27x = 2,967,299.77
  5. Step 5: Solve for x
    x = 2,967,299.77/2,262.27
  6. Step 6: Final answer
    x = 1,311.64

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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.