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Finding the Fourth Proportional to 3,076.64, 4,614.46 and 884.87

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Solution

The fourth proportional to 3,076.64, 4,614.46 and 884.87 is: 1,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.64 : 4,614.46 = 884.87 : x
  2. Step 2: Convert to fraction form
    3,076.64/4,614.46 = 884.87/x
  3. Step 3: Cross multiply
    3,076.64x = 4,614.46 × 884.87
  4. Step 4: Simplify right side
    3,076.64x = 4,083,197.22
  5. Step 5: Solve for x
    x = 4,083,197.22/3,076.64
  6. Step 6: Final answer
    x = 1,327.16

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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.