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Finding the Fourth Proportional to 3,207.94, 4,811.92 and 1,016.66

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Solution

The fourth proportional to 3,207.94, 4,811.92 and 1,016.66 is: 1,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.94 : 4,811.92 = 1,016.66 : x
  2. Step 2: Convert to fraction form
    3,207.94/4,811.92 = 1,016.66/x
  3. Step 3: Cross multiply
    3,207.94x = 4,811.92 × 1,016.66
  4. Step 4: Simplify right side
    3,207.94x = 4,892,096.08
  5. Step 5: Solve for x
    x = 4,892,096.08/3,207.94
  6. Step 6: Final answer
    x = 1,525.00

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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.