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Finding the Fourth Proportional to 3,076.68, 4,614.84 and 1,614.90

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Solution

The fourth proportional to 3,076.68, 4,614.84 and 1,614.90 is: 2,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.68 : 4,614.84 = 1,614.90 : x
  2. Step 2: Convert to fraction form
    3,076.68/4,614.84 = 1,614.90/x
  3. Step 3: Cross multiply
    3,076.68x = 4,614.84 × 1,614.90
  4. Step 4: Simplify right side
    3,076.68x = 7,452,505.12
  5. Step 5: Solve for x
    x = 7,452,505.12/3,076.68
  6. Step 6: Final answer
    x = 2,422.26

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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.