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Finding the Fourth Proportional to 3,033.67, 4,543.17 and 2,106.67

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Solution

The fourth proportional to 3,033.67, 4,543.17 and 2,106.67 is: 3,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.67 : 4,543.17 = 2,106.67 : x
  2. Step 2: Convert to fraction form
    3,033.67/4,543.17 = 2,106.67/x
  3. Step 3: Cross multiply
    3,033.67x = 4,543.17 × 2,106.67
  4. Step 4: Simplify right side
    3,033.67x = 9,570,959.94
  5. Step 5: Solve for x
    x = 9,570,959.94/3,033.67
  6. Step 6: Final answer
    x = 3,154.91

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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.