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Finding the Fourth Proportional to 3,111.66, 4,667.49 and 1,137.69

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Solution

The fourth proportional to 3,111.66, 4,667.49 and 1,137.69 is: 1,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.66 : 4,667.49 = 1,137.69 : x
  2. Step 2: Convert to fraction form
    3,111.66/4,667.49 = 1,137.69/x
  3. Step 3: Cross multiply
    3,111.66x = 4,667.49 × 1,137.69
  4. Step 4: Simplify right side
    3,111.66x = 5,310,156.70
  5. Step 5: Solve for x
    x = 5,310,156.70/3,111.66
  6. Step 6: Final answer
    x = 1,706.54

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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.