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Finding the Fourth Proportional to 1,846.31, 2,768.53 and 613.28

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Solution

The fourth proportional to 1,846.31, 2,768.53 and 613.28 is: 919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.31 : 2,768.53 = 613.28 : x
  2. Step 2: Convert to fraction form
    1,846.31/2,768.53 = 613.28/x
  3. Step 3: Cross multiply
    1,846.31x = 2,768.53 × 613.28
  4. Step 4: Simplify right side
    1,846.31x = 1,697,889.47
  5. Step 5: Solve for x
    x = 1,697,889.47/1,846.31
  6. Step 6: Final answer
    x = 919.61

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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.