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Finding the Fourth Proportional to 2,076.64, 3,115.02 and 537.64

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Solution

The fourth proportional to 2,076.64, 3,115.02 and 537.64 is: 806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.64 : 3,115.02 = 537.64 : x
  2. Step 2: Convert to fraction form
    2,076.64/3,115.02 = 537.64/x
  3. Step 3: Cross multiply
    2,076.64x = 3,115.02 × 537.64
  4. Step 4: Simplify right side
    2,076.64x = 1,674,759.35
  5. Step 5: Solve for x
    x = 1,674,759.35/2,076.64
  6. Step 6: Final answer
    x = 806.48

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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.