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Finding the Fourth Proportional to 3,191.30, 4,786.95 and 1,000.03

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Solution

The fourth proportional to 3,191.30, 4,786.95 and 1,000.03 is: 1,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.30 : 4,786.95 = 1,000.03 : x
  2. Step 2: Convert to fraction form
    3,191.30/4,786.95 = 1,000.03/x
  3. Step 3: Cross multiply
    3,191.30x = 4,786.95 × 1,000.03
  4. Step 4: Simplify right side
    3,191.30x = 4,787,069.67
  5. Step 5: Solve for x
    x = 4,787,069.67/3,191.30
  6. Step 6: Final answer
    x = 1,500.04

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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.