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Finding the Fourth Proportional to 2,183.04, 3,276 and 950.76

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Solution

The fourth proportional to 2,183.04, 3,276 and 950.76 is: 1,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.04 : 3,276 = 950.76 : x
  2. Step 2: Convert to fraction form
    2,183.04/3,276 = 950.76/x
  3. Step 3: Cross multiply
    2,183.04x = 3,276 × 950.76
  4. Step 4: Simplify right side
    2,183.04x = 3,114,689.76
  5. Step 5: Solve for x
    x = 3,114,689.76/2,183.04
  6. Step 6: Final answer
    x = 1,426.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.