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Finding the Fourth Proportional to 2,278, 3,416.94 and 634.48

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Solution

The fourth proportional to 2,278, 3,416.94 and 634.48 is: 951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278 : 3,416.94 = 634.48 : x
  2. Step 2: Convert to fraction form
    2,278/3,416.94 = 634.48/x
  3. Step 3: Cross multiply
    2,278x = 3,416.94 × 634.48
  4. Step 4: Simplify right side
    2,278x = 2,167,980.09
  5. Step 5: Solve for x
    x = 2,167,980.09/2,278
  6. Step 6: Final answer
    x = 951.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.