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Finding the Fourth Proportional to 2,296.44, 3,446.10 and 2,148.84

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Solution

The fourth proportional to 2,296.44, 3,446.10 and 2,148.84 is: 3,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.44 : 3,446.10 = 2,148.84 : x
  2. Step 2: Convert to fraction form
    2,296.44/3,446.10 = 2,148.84/x
  3. Step 3: Cross multiply
    2,296.44x = 3,446.10 × 2,148.84
  4. Step 4: Simplify right side
    2,296.44x = 7,405,117.52
  5. Step 5: Solve for x
    x = 7,405,117.52/2,296.44
  6. Step 6: Final answer
    x = 3,224.61

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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.