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Finding the Fourth Proportional to 3,106.34, 4,286.84 and 1,690.11

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Solution

The fourth proportional to 3,106.34, 4,286.84 and 1,690.11 is: 2,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.34 : 4,286.84 = 1,690.11 : x
  2. Step 2: Convert to fraction form
    3,106.34/4,286.84 = 1,690.11/x
  3. Step 3: Cross multiply
    3,106.34x = 4,286.84 × 1,690.11
  4. Step 4: Simplify right side
    3,106.34x = 7,245,222.70
  5. Step 5: Solve for x
    x = 7,245,222.70/3,106.34
  6. Step 6: Final answer
    x = 2,332.40

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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.