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Finding the Fourth Proportional to 4,194.96, 6,291.64 and 1,274

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Solution

The fourth proportional to 4,194.96, 6,291.64 and 1,274 is: 1,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.96 : 6,291.64 = 1,274 : x
  2. Step 2: Convert to fraction form
    4,194.96/6,291.64 = 1,274/x
  3. Step 3: Cross multiply
    4,194.96x = 6,291.64 × 1,274
  4. Step 4: Simplify right side
    4,194.96x = 8,015,549.36
  5. Step 5: Solve for x
    x = 8,015,549.36/4,194.96
  6. Step 6: Final answer
    x = 1,910.76

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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.