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Finding the Fourth Proportional to 2,485.46, 3,729.50 and 1,099.76

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Solution

The fourth proportional to 2,485.46, 3,729.50 and 1,099.76 is: 1,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.46 : 3,729.50 = 1,099.76 : x
  2. Step 2: Convert to fraction form
    2,485.46/3,729.50 = 1,099.76/x
  3. Step 3: Cross multiply
    2,485.46x = 3,729.50 × 1,099.76
  4. Step 4: Simplify right side
    2,485.46x = 4,101,530.77
  5. Step 5: Solve for x
    x = 4,101,530.77/2,485.46
  6. Step 6: Final answer
    x = 1,650.21

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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.