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Finding the Fourth Proportional to 3,402.54, 4,695.45 and 1,910.46

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Solution

The fourth proportional to 3,402.54, 4,695.45 and 1,910.46 is: 2,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.54 : 4,695.45 = 1,910.46 : x
  2. Step 2: Convert to fraction form
    3,402.54/4,695.45 = 1,910.46/x
  3. Step 3: Cross multiply
    3,402.54x = 4,695.45 × 1,910.46
  4. Step 4: Simplify right side
    3,402.54x = 8,970,469.41
  5. Step 5: Solve for x
    x = 8,970,469.41/3,402.54
  6. Step 6: Final answer
    x = 2,636.40

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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.