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Finding the Fourth Proportional to 2,099.13, 2,896.88 and 1,167.63

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Solution

The fourth proportional to 2,099.13, 2,896.88 and 1,167.63 is: 1,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.13 : 2,896.88 = 1,167.63 : x
  2. Step 2: Convert to fraction form
    2,099.13/2,896.88 = 1,167.63/x
  3. Step 3: Cross multiply
    2,099.13x = 2,896.88 × 1,167.63
  4. Step 4: Simplify right side
    2,099.13x = 3,382,472.43
  5. Step 5: Solve for x
    x = 3,382,472.43/2,099.13
  6. Step 6: Final answer
    x = 1,611.37

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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.