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Finding the Fourth Proportional to 2,224.32, 3,336.48 and 2,089

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Solution

The fourth proportional to 2,224.32, 3,336.48 and 2,089 is: 3,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.32 : 3,336.48 = 2,089 : x
  2. Step 2: Convert to fraction form
    2,224.32/3,336.48 = 2,089/x
  3. Step 3: Cross multiply
    2,224.32x = 3,336.48 × 2,089
  4. Step 4: Simplify right side
    2,224.32x = 6,969,896.28
  5. Step 5: Solve for x
    x = 6,969,896.28/2,224.32
  6. Step 6: Final answer
    x = 3,133.50

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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.