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Finding the Fourth Proportional to 2,300.30, 3,171.12 and 1,415.54

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Solution

The fourth proportional to 2,300.30, 3,171.12 and 1,415.54 is: 1,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.30 : 3,171.12 = 1,415.54 : x
  2. Step 2: Convert to fraction form
    2,300.30/3,171.12 = 1,415.54/x
  3. Step 3: Cross multiply
    2,300.30x = 3,171.12 × 1,415.54
  4. Step 4: Simplify right side
    2,300.30x = 4,488,847.20
  5. Step 5: Solve for x
    x = 4,488,847.20/2,300.30
  6. Step 6: Final answer
    x = 1,951.42

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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.