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Finding the Fourth Proportional to 3,193.49, 4,790.42 and 853.44

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Solution

The fourth proportional to 3,193.49, 4,790.42 and 853.44 is: 1,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.49 : 4,790.42 = 853.44 : x
  2. Step 2: Convert to fraction form
    3,193.49/4,790.42 = 853.44/x
  3. Step 3: Cross multiply
    3,193.49x = 4,790.42 × 853.44
  4. Step 4: Simplify right side
    3,193.49x = 4,088,331.78
  5. Step 5: Solve for x
    x = 4,088,331.78/3,193.49
  6. Step 6: Final answer
    x = 1,280.21

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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.