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Finding the Fourth Proportional to 3,207.89, 4,811.31 and 1,017.14

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Solution

The fourth proportional to 3,207.89, 4,811.31 and 1,017.14 is: 1,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.89 : 4,811.31 = 1,017.14 : x
  2. Step 2: Convert to fraction form
    3,207.89/4,811.31 = 1,017.14/x
  3. Step 3: Cross multiply
    3,207.89x = 4,811.31 × 1,017.14
  4. Step 4: Simplify right side
    3,207.89x = 4,893,751.80
  5. Step 5: Solve for x
    x = 4,893,751.80/3,207.89
  6. Step 6: Final answer
    x = 1,525.53

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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.