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Finding the Fourth Proportional to 2,908.70, 4,014.03 and 1,582.43

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Solution

The fourth proportional to 2,908.70, 4,014.03 and 1,582.43 is: 2,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.70 : 4,014.03 = 1,582.43 : x
  2. Step 2: Convert to fraction form
    2,908.70/4,014.03 = 1,582.43/x
  3. Step 3: Cross multiply
    2,908.70x = 4,014.03 × 1,582.43
  4. Step 4: Simplify right side
    2,908.70x = 6,351,921.49
  5. Step 5: Solve for x
    x = 6,351,921.49/2,908.70
  6. Step 6: Final answer
    x = 2,183.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.