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Finding the Fourth Proportional to 2,296.96, 3,168.11 and 1,412.44

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Solution

The fourth proportional to 2,296.96, 3,168.11 and 1,412.44 is: 1,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.96 : 3,168.11 = 1,412.44 : x
  2. Step 2: Convert to fraction form
    2,296.96/3,168.11 = 1,412.44/x
  3. Step 3: Cross multiply
    2,296.96x = 3,168.11 × 1,412.44
  4. Step 4: Simplify right side
    2,296.96x = 4,474,760.90
  5. Step 5: Solve for x
    x = 4,474,760.90/2,296.96
  6. Step 6: Final answer
    x = 1,948.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.