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Finding the Fourth Proportional to 2,761.02, 3,810.42 and 1,582.02

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Solution

The fourth proportional to 2,761.02, 3,810.42 and 1,582.02 is: 2,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.02 : 3,810.42 = 1,582.02 : x
  2. Step 2: Convert to fraction form
    2,761.02/3,810.42 = 1,582.02/x
  3. Step 3: Cross multiply
    2,761.02x = 3,810.42 × 1,582.02
  4. Step 4: Simplify right side
    2,761.02x = 6,028,160.65
  5. Step 5: Solve for x
    x = 6,028,160.65/2,761.02
  6. Step 6: Final answer
    x = 2,183.31

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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.