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Finding the Fourth Proportional to 2,277.73, 3,416.59 and 634.32

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Solution

The fourth proportional to 2,277.73, 3,416.59 and 634.32 is: 951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.73 : 3,416.59 = 634.32 : x
  2. Step 2: Convert to fraction form
    2,277.73/3,416.59 = 634.32/x
  3. Step 3: Cross multiply
    2,277.73x = 3,416.59 × 634.32
  4. Step 4: Simplify right side
    2,277.73x = 2,167,199.35
  5. Step 5: Solve for x
    x = 2,167,199.35/2,277.73
  6. Step 6: Final answer
    x = 951.47

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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.