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Finding the Fourth Proportional to 4,942.53, 7,414.19 and 1,655.64

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Solution

The fourth proportional to 4,942.53, 7,414.19 and 1,655.64 is: 2,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.53 : 7,414.19 = 1,655.64 : x
  2. Step 2: Convert to fraction form
    4,942.53/7,414.19 = 1,655.64/x
  3. Step 3: Cross multiply
    4,942.53x = 7,414.19 × 1,655.64
  4. Step 4: Simplify right side
    4,942.53x = 12,275,229.53
  5. Step 5: Solve for x
    x = 12,275,229.53/4,942.53
  6. Step 6: Final answer
    x = 2,483.59

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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.