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Finding the Fourth Proportional to 1,846.06, 2,768.80 and 613.48

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Solution

The fourth proportional to 1,846.06, 2,768.80 and 613.48 is: 920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.06 : 2,768.80 = 613.48 : x
  2. Step 2: Convert to fraction form
    1,846.06/2,768.80 = 613.48/x
  3. Step 3: Cross multiply
    1,846.06x = 2,768.80 × 613.48
  4. Step 4: Simplify right side
    1,846.06x = 1,698,600.36
  5. Step 5: Solve for x
    x = 1,698,600.36/1,846.06
  6. Step 6: Final answer
    x = 920.12

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1.5x scale

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.