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Finding the Fourth Proportional to 3,122.68, 4,680.68 and 1,559.60

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Solution

The fourth proportional to 3,122.68, 4,680.68 and 1,559.60 is: 2,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.68 : 4,680.68 = 1,559.60 : x
  2. Step 2: Convert to fraction form
    3,122.68/4,680.68 = 1,559.60/x
  3. Step 3: Cross multiply
    3,122.68x = 4,680.68 × 1,559.60
  4. Step 4: Simplify right side
    3,122.68x = 7,299,988.53
  5. Step 5: Solve for x
    x = 7,299,988.53/3,122.68
  6. Step 6: Final answer
    x = 2,337.73

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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.