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Finding the Fourth Proportional to 2,254.64, 3,383.60 and 793.84

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Solution

The fourth proportional to 2,254.64, 3,383.60 and 793.84 is: 1,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.64 : 3,383.60 = 793.84 : x
  2. Step 2: Convert to fraction form
    2,254.64/3,383.60 = 793.84/x
  3. Step 3: Cross multiply
    2,254.64x = 3,383.60 × 793.84
  4. Step 4: Simplify right side
    2,254.64x = 2,686,037.02
  5. Step 5: Solve for x
    x = 2,686,037.02/2,254.64
  6. Step 6: Final answer
    x = 1,191.34

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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.