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Finding the Fourth Proportional to 3,394.46, 4,684.10 and 2,068

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Solution

The fourth proportional to 3,394.46, 4,684.10 and 2,068 is: 2,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.46 : 4,684.10 = 2,068 : x
  2. Step 2: Convert to fraction form
    3,394.46/4,684.10 = 2,068/x
  3. Step 3: Cross multiply
    3,394.46x = 4,684.10 × 2,068
  4. Step 4: Simplify right side
    3,394.46x = 9,686,718.80
  5. Step 5: Solve for x
    x = 9,686,718.80/3,394.46
  6. Step 6: Final answer
    x = 2,853.68

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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.