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Finding the Fourth Proportional to 1,840.42, 2,760.87 and 670.27

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Solution

The fourth proportional to 1,840.42, 2,760.87 and 670.27 is: 1,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.42 : 2,760.87 = 670.27 : x
  2. Step 2: Convert to fraction form
    1,840.42/2,760.87 = 670.27/x
  3. Step 3: Cross multiply
    1,840.42x = 2,760.87 × 670.27
  4. Step 4: Simplify right side
    1,840.42x = 1,850,514.53
  5. Step 5: Solve for x
    x = 1,850,514.53/1,840.42
  6. Step 6: Final answer
    x = 1,005.49

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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.