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Finding the Fourth Proportional to 2,243.14, 3,363.64 and 782.12

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Solution

The fourth proportional to 2,243.14, 3,363.64 and 782.12 is: 1,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.14 : 3,363.64 = 782.12 : x
  2. Step 2: Convert to fraction form
    2,243.14/3,363.64 = 782.12/x
  3. Step 3: Cross multiply
    2,243.14x = 3,363.64 × 782.12
  4. Step 4: Simplify right side
    2,243.14x = 2,630,770.12
  5. Step 5: Solve for x
    x = 2,630,770.12/2,243.14
  6. Step 6: Final answer
    x = 1,172.81

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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.