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Finding the Fourth Proportional to 3,109.47, 4,662.68 and 1,028.78

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Solution

The fourth proportional to 3,109.47, 4,662.68 and 1,028.78 is: 1,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.47 : 4,662.68 = 1,028.78 : x
  2. Step 2: Convert to fraction form
    3,109.47/4,662.68 = 1,028.78/x
  3. Step 3: Cross multiply
    3,109.47x = 4,662.68 × 1,028.78
  4. Step 4: Simplify right side
    3,109.47x = 4,796,886.16
  5. Step 5: Solve for x
    x = 4,796,886.16/3,109.47
  6. Step 6: Final answer
    x = 1,542.67

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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.