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Finding the Fourth Proportional to 2,109.26, 2,910.08 and 1,225.38

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Solution

The fourth proportional to 2,109.26, 2,910.08 and 1,225.38 is: 1,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.26 : 2,910.08 = 1,225.38 : x
  2. Step 2: Convert to fraction form
    2,109.26/2,910.08 = 1,225.38/x
  3. Step 3: Cross multiply
    2,109.26x = 2,910.08 × 1,225.38
  4. Step 4: Simplify right side
    2,109.26x = 3,565,953.83
  5. Step 5: Solve for x
    x = 3,565,953.83/2,109.26
  6. Step 6: Final answer
    x = 1,690.62

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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.