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Finding the Fourth Proportional to 2,436.64, 3,655.26 and 793.34

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Solution

The fourth proportional to 2,436.64, 3,655.26 and 793.34 is: 1,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.64 : 3,655.26 = 793.34 : x
  2. Step 2: Convert to fraction form
    2,436.64/3,655.26 = 793.34/x
  3. Step 3: Cross multiply
    2,436.64x = 3,655.26 × 793.34
  4. Step 4: Simplify right side
    2,436.64x = 2,899,863.97
  5. Step 5: Solve for x
    x = 2,899,863.97/2,436.64
  6. Step 6: Final answer
    x = 1,190.11

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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.