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Finding the Fourth Proportional to 1,846.14, 2,768.13 and 613.22

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Solution

The fourth proportional to 1,846.14, 2,768.13 and 613.22 is: 919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.14 : 2,768.13 = 613.22 : x
  2. Step 2: Convert to fraction form
    1,846.14/2,768.13 = 613.22/x
  3. Step 3: Cross multiply
    1,846.14x = 2,768.13 × 613.22
  4. Step 4: Simplify right side
    1,846.14x = 1,697,458.84
  5. Step 5: Solve for x
    x = 1,697,458.84/1,846.14
  6. Step 6: Final answer
    x = 919.46

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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.