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Finding the Fourth Proportional to 2,243.52, 3,364.74 and 1,089

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Solution

The fourth proportional to 2,243.52, 3,364.74 and 1,089 is: 1,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.52 : 3,364.74 = 1,089 : x
  2. Step 2: Convert to fraction form
    2,243.52/3,364.74 = 1,089/x
  3. Step 3: Cross multiply
    2,243.52x = 3,364.74 × 1,089
  4. Step 4: Simplify right side
    2,243.52x = 3,664,201.86
  5. Step 5: Solve for x
    x = 3,664,201.86/2,243.52
  6. Step 6: Final answer
    x = 1,633.24

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Double scale
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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.