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Finding the Fourth Proportional to 3,121.79, 4,690.28 and 2,011.74

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Solution

The fourth proportional to 3,121.79, 4,690.28 and 2,011.74 is: 3,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.79 : 4,690.28 = 2,011.74 : x
  2. Step 2: Convert to fraction form
    3,121.79/4,690.28 = 2,011.74/x
  3. Step 3: Cross multiply
    3,121.79x = 4,690.28 × 2,011.74
  4. Step 4: Simplify right side
    3,121.79x = 9,435,632.70
  5. Step 5: Solve for x
    x = 9,435,632.70/3,121.79
  6. Step 6: Final answer
    x = 3,022.50

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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.