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Finding the Fourth Proportional to 3,111.85, 4,668.20 and 1,137.22

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Solution

The fourth proportional to 3,111.85, 4,668.20 and 1,137.22 is: 1,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.85 : 4,668.20 = 1,137.22 : x
  2. Step 2: Convert to fraction form
    3,111.85/4,668.20 = 1,137.22/x
  3. Step 3: Cross multiply
    3,111.85x = 4,668.20 × 1,137.22
  4. Step 4: Simplify right side
    3,111.85x = 5,308,770.40
  5. Step 5: Solve for x
    x = 5,308,770.40/3,111.85
  6. Step 6: Final answer
    x = 1,705.99

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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.