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Finding the Fourth Proportional to 3,191.40, 4,788 and 1,000.44

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Solution

The fourth proportional to 3,191.40, 4,788 and 1,000.44 is: 1,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.40 : 4,788 = 1,000.44 : x
  2. Step 2: Convert to fraction form
    3,191.40/4,788 = 1,000.44/x
  3. Step 3: Cross multiply
    3,191.40x = 4,788 × 1,000.44
  4. Step 4: Simplify right side
    3,191.40x = 4,790,106.72
  5. Step 5: Solve for x
    x = 4,790,106.72/3,191.40
  6. Step 6: Final answer
    x = 1,500.94

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1.5x scale

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.