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Finding the Fourth Proportional to 2,076.20, 3,115.53 and 843.51

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Solution

The fourth proportional to 2,076.20, 3,115.53 and 843.51 is: 1,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.20 : 3,115.53 = 843.51 : x
  2. Step 2: Convert to fraction form
    2,076.20/3,115.53 = 843.51/x
  3. Step 3: Cross multiply
    2,076.20x = 3,115.53 × 843.51
  4. Step 4: Simplify right side
    2,076.20x = 2,627,980.71
  5. Step 5: Solve for x
    x = 2,627,980.71/2,076.20
  6. Step 6: Final answer
    x = 1,265.77

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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.