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Finding the Fourth Proportional to 3,111.81, 4,668.17 and 1,137.54

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Solution

The fourth proportional to 3,111.81, 4,668.17 and 1,137.54 is: 1,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.81 : 4,668.17 = 1,137.54 : x
  2. Step 2: Convert to fraction form
    3,111.81/4,668.17 = 1,137.54/x
  3. Step 3: Cross multiply
    3,111.81x = 4,668.17 × 1,137.54
  4. Step 4: Simplify right side
    3,111.81x = 5,310,206.76
  5. Step 5: Solve for x
    x = 5,310,206.76/3,111.81
  6. Step 6: Final answer
    x = 1,706.47

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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.