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Finding the Fourth Proportional to 1,900, 2,863.64 and 1,736.16

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Solution

The fourth proportional to 1,900, 2,863.64 and 1,736.16 is: 2,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900 : 2,863.64 = 1,736.16 : x
  2. Step 2: Convert to fraction form
    1,900/2,863.64 = 1,736.16/x
  3. Step 3: Cross multiply
    1,900x = 2,863.64 × 1,736.16
  4. Step 4: Simplify right side
    1,900x = 4,971,737.22
  5. Step 5: Solve for x
    x = 4,971,737.22/1,900
  6. Step 6: Final answer
    x = 2,616.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.