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Finding the Fourth Proportional to 1,840.08, 2,760.84 and 685.56

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Solution

The fourth proportional to 1,840.08, 2,760.84 and 685.56 is: 1,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.08 : 2,760.84 = 685.56 : x
  2. Step 2: Convert to fraction form
    1,840.08/2,760.84 = 685.56/x
  3. Step 3: Cross multiply
    1,840.08x = 2,760.84 × 685.56
  4. Step 4: Simplify right side
    1,840.08x = 1,892,721.47
  5. Step 5: Solve for x
    x = 1,892,721.47/1,840.08
  6. Step 6: Final answer
    x = 1,028.61

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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.