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Finding the Fourth Proportional to 2,153.46, 3,230.22 and 837.29

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Solution

The fourth proportional to 2,153.46, 3,230.22 and 837.29 is: 1,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.46 : 3,230.22 = 837.29 : x
  2. Step 2: Convert to fraction form
    2,153.46/3,230.22 = 837.29/x
  3. Step 3: Cross multiply
    2,153.46x = 3,230.22 × 837.29
  4. Step 4: Simplify right side
    2,153.46x = 2,704,630.90
  5. Step 5: Solve for x
    x = 2,704,630.90/2,153.46
  6. Step 6: Final answer
    x = 1,255.95

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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.