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Finding the Fourth Proportional to 3,135.94, 4,703.91 and 827.78

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Solution

The fourth proportional to 3,135.94, 4,703.91 and 827.78 is: 1,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.94 : 4,703.91 = 827.78 : x
  2. Step 2: Convert to fraction form
    3,135.94/4,703.91 = 827.78/x
  3. Step 3: Cross multiply
    3,135.94x = 4,703.91 × 827.78
  4. Step 4: Simplify right side
    3,135.94x = 3,893,802.62
  5. Step 5: Solve for x
    x = 3,893,802.62/3,135.94
  6. Step 6: Final answer
    x = 1,241.67

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