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Finding the Fourth Proportional to 3,412.20, 4,706.70 and 2,152.20

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Solution

The fourth proportional to 3,412.20, 4,706.70 and 2,152.20 is: 2,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.20 : 4,706.70 = 2,152.20 : x
  2. Step 2: Convert to fraction form
    3,412.20/4,706.70 = 2,152.20/x
  3. Step 3: Cross multiply
    3,412.20x = 4,706.70 × 2,152.20
  4. Step 4: Simplify right side
    3,412.20x = 10,129,759.74
  5. Step 5: Solve for x
    x = 10,129,759.74/3,412.20
  6. Step 6: Final answer
    x = 2,968.69

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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.