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Finding the Fourth Proportional to 3,186.84, 4,396.19 and 1,927.20

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Solution

The fourth proportional to 3,186.84, 4,396.19 and 1,927.20 is: 2,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.84 : 4,396.19 = 1,927.20 : x
  2. Step 2: Convert to fraction form
    3,186.84/4,396.19 = 1,927.20/x
  3. Step 3: Cross multiply
    3,186.84x = 4,396.19 × 1,927.20
  4. Step 4: Simplify right side
    3,186.84x = 8,472,327.73
  5. Step 5: Solve for x
    x = 8,472,327.73/3,186.84
  6. Step 6: Final answer
    x = 2,658.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.