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Finding the Fourth Proportional to 2,357.15, 3,533.30 and 796.64

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Solution

The fourth proportional to 2,357.15, 3,533.30 and 796.64 is: 1,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.15 : 3,533.30 = 796.64 : x
  2. Step 2: Convert to fraction form
    2,357.15/3,533.30 = 796.64/x
  3. Step 3: Cross multiply
    2,357.15x = 3,533.30 × 796.64
  4. Step 4: Simplify right side
    2,357.15x = 2,814,772.96
  5. Step 5: Solve for x
    x = 2,814,772.96/2,357.15
  6. Step 6: Final answer
    x = 1,194.14

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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.