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Finding the Fourth Proportional to 2,106.92, 2,907.42 and 1,223

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Solution

The fourth proportional to 2,106.92, 2,907.42 and 1,223 is: 1,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.92 : 2,907.42 = 1,223 : x
  2. Step 2: Convert to fraction form
    2,106.92/2,907.42 = 1,223/x
  3. Step 3: Cross multiply
    2,106.92x = 2,907.42 × 1,223
  4. Step 4: Simplify right side
    2,106.92x = 3,555,774.66
  5. Step 5: Solve for x
    x = 3,555,774.66/2,106.92
  6. Step 6: Final answer
    x = 1,687.66

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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.