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Finding the Fourth Proportional to 3,099.99, 4,280.01 and 1,981.38

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Solution

The fourth proportional to 3,099.99, 4,280.01 and 1,981.38 is: 2,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.99 : 4,280.01 = 1,981.38 : x
  2. Step 2: Convert to fraction form
    3,099.99/4,280.01 = 1,981.38/x
  3. Step 3: Cross multiply
    3,099.99x = 4,280.01 × 1,981.38
  4. Step 4: Simplify right side
    3,099.99x = 8,480,326.21
  5. Step 5: Solve for x
    x = 8,480,326.21/3,099.99
  6. Step 6: Final answer
    x = 2,735.60

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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.