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Finding the Fourth Proportional to 3,076.63, 4,614.91 and 768.13

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Solution

The fourth proportional to 3,076.63, 4,614.91 and 768.13 is: 1,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.63 : 4,614.91 = 768.13 : x
  2. Step 2: Convert to fraction form
    3,076.63/4,614.91 = 768.13/x
  3. Step 3: Cross multiply
    3,076.63x = 4,614.91 × 768.13
  4. Step 4: Simplify right side
    3,076.63x = 3,544,837.36
  5. Step 5: Solve for x
    x = 3,544,837.36/3,076.63
  6. Step 6: Final answer
    x = 1,152.18

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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.