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Finding the Fourth Proportional to 3,116.70, 4,667.70 and 1,467.93

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Solution

The fourth proportional to 3,116.70, 4,667.70 and 1,467.93 is: 2,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.70 : 4,667.70 = 1,467.93 : x
  2. Step 2: Convert to fraction form
    3,116.70/4,667.70 = 1,467.93/x
  3. Step 3: Cross multiply
    3,116.70x = 4,667.70 × 1,467.93
  4. Step 4: Simplify right side
    3,116.70x = 6,851,856.86
  5. Step 5: Solve for x
    x = 6,851,856.86/3,116.70
  6. Step 6: Final answer
    x = 2,198.43

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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.