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Finding the Fourth Proportional to 2,241.52, 3,093.12 and 1,246.64

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Solution

The fourth proportional to 2,241.52, 3,093.12 and 1,246.64 is: 1,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.52 : 3,093.12 = 1,246.64 : x
  2. Step 2: Convert to fraction form
    2,241.52/3,093.12 = 1,246.64/x
  3. Step 3: Cross multiply
    2,241.52x = 3,093.12 × 1,246.64
  4. Step 4: Simplify right side
    2,241.52x = 3,856,000.19
  5. Step 5: Solve for x
    x = 3,856,000.19/2,241.52
  6. Step 6: Final answer
    x = 1,720.26

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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.