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Finding the Fourth Proportional to 2,762.67, 4,144.37 and 1,007.67

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Solution

The fourth proportional to 2,762.67, 4,144.37 and 1,007.67 is: 1,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.67 : 4,144.37 = 1,007.67 : x
  2. Step 2: Convert to fraction form
    2,762.67/4,144.37 = 1,007.67/x
  3. Step 3: Cross multiply
    2,762.67x = 4,144.37 × 1,007.67
  4. Step 4: Simplify right side
    2,762.67x = 4,176,152.28
  5. Step 5: Solve for x
    x = 4,176,152.28/2,762.67
  6. Step 6: Final answer
    x = 1,511.64

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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.