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Finding the Fourth Proportional to 2,109.34, 2,910.42 and 1,225.12

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Solution

The fourth proportional to 2,109.34, 2,910.42 and 1,225.12 is: 1,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.34 : 2,910.42 = 1,225.12 : x
  2. Step 2: Convert to fraction form
    2,109.34/2,910.42 = 1,225.12/x
  3. Step 3: Cross multiply
    2,109.34x = 2,910.42 × 1,225.12
  4. Step 4: Simplify right side
    2,109.34x = 3,565,613.75
  5. Step 5: Solve for x
    x = 3,565,613.75/2,109.34
  6. Step 6: Final answer
    x = 1,690.39

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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.