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Finding the Fourth Proportional to 2,224.86, 3,336.98 and 665.12

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Solution

The fourth proportional to 2,224.86, 3,336.98 and 665.12 is: 997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.86 : 3,336.98 = 665.12 : x
  2. Step 2: Convert to fraction form
    2,224.86/3,336.98 = 665.12/x
  3. Step 3: Cross multiply
    2,224.86x = 3,336.98 × 665.12
  4. Step 4: Simplify right side
    2,224.86x = 2,219,492.14
  5. Step 5: Solve for x
    x = 2,219,492.14/2,224.86
  6. Step 6: Final answer
    x = 997.59

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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.