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Finding the Fourth Proportional to 2,760.34, 3,809.81 and 1,582.20

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Solution

The fourth proportional to 2,760.34, 3,809.81 and 1,582.20 is: 2,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.34 : 3,809.81 = 1,582.20 : x
  2. Step 2: Convert to fraction form
    2,760.34/3,809.81 = 1,582.20/x
  3. Step 3: Cross multiply
    2,760.34x = 3,809.81 × 1,582.20
  4. Step 4: Simplify right side
    2,760.34x = 6,027,881.38
  5. Step 5: Solve for x
    x = 6,027,881.38/2,760.34
  6. Step 6: Final answer
    x = 2,183.75

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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.