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Finding the Fourth Proportional to 2,105.52, 2,905.32 and 1,197

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Solution

The fourth proportional to 2,105.52, 2,905.32 and 1,197 is: 1,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.52 : 2,905.32 = 1,197 : x
  2. Step 2: Convert to fraction form
    2,105.52/2,905.32 = 1,197/x
  3. Step 3: Cross multiply
    2,105.52x = 2,905.32 × 1,197
  4. Step 4: Simplify right side
    2,105.52x = 3,477,668.04
  5. Step 5: Solve for x
    x = 3,477,668.04/2,105.52
  6. Step 6: Final answer
    x = 1,651.69

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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.