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Finding the Fourth Proportional to 2,049.63, 3,074.74 and 662.50

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Solution

The fourth proportional to 2,049.63, 3,074.74 and 662.50 is: 993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.63 : 3,074.74 = 662.50 : x
  2. Step 2: Convert to fraction form
    2,049.63/3,074.74 = 662.50/x
  3. Step 3: Cross multiply
    2,049.63x = 3,074.74 × 662.50
  4. Step 4: Simplify right side
    2,049.63x = 2,037,013.59
  5. Step 5: Solve for x
    x = 2,037,013.59/2,049.63
  6. Step 6: Final answer
    x = 993.85

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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.