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Finding the Fourth Proportional to 3,118.69, 4,680.47 and 2,022.76

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Solution

The fourth proportional to 3,118.69, 4,680.47 and 2,022.76 is: 3,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.69 : 4,680.47 = 2,022.76 : x
  2. Step 2: Convert to fraction form
    3,118.69/4,680.47 = 2,022.76/x
  3. Step 3: Cross multiply
    3,118.69x = 4,680.47 × 2,022.76
  4. Step 4: Simplify right side
    3,118.69x = 9,467,467.50
  5. Step 5: Solve for x
    x = 9,467,467.50/3,118.69
  6. Step 6: Final answer
    x = 3,035.72

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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.