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Finding the Fourth Proportional to 2,323.44, 3,486.24 and 1,092.24

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Solution

The fourth proportional to 2,323.44, 3,486.24 and 1,092.24 is: 1,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.44 : 3,486.24 = 1,092.24 : x
  2. Step 2: Convert to fraction form
    2,323.44/3,486.24 = 1,092.24/x
  3. Step 3: Cross multiply
    2,323.44x = 3,486.24 × 1,092.24
  4. Step 4: Simplify right side
    2,323.44x = 3,807,810.78
  5. Step 5: Solve for x
    x = 3,807,810.78/2,323.44
  6. Step 6: Final answer
    x = 1,638.87

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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.