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Finding the Fourth Proportional to 2,136.94, 2,943.08 and 2,025.78

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Solution

The fourth proportional to 2,136.94, 2,943.08 and 2,025.78 is: 2,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.94 : 2,943.08 = 2,025.78 : x
  2. Step 2: Convert to fraction form
    2,136.94/2,943.08 = 2,025.78/x
  3. Step 3: Cross multiply
    2,136.94x = 2,943.08 × 2,025.78
  4. Step 4: Simplify right side
    2,136.94x = 5,962,032.60
  5. Step 5: Solve for x
    x = 5,962,032.60/2,136.94
  6. Step 6: Final answer
    x = 2,789.99

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1.5x scale

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.