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Finding the Fourth Proportional to 2,011.76, 3,019.56 and 986.48

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Solution

The fourth proportional to 2,011.76, 3,019.56 and 986.48 is: 1,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.76 : 3,019.56 = 986.48 : x
  2. Step 2: Convert to fraction form
    2,011.76/3,019.56 = 986.48/x
  3. Step 3: Cross multiply
    2,011.76x = 3,019.56 × 986.48
  4. Step 4: Simplify right side
    2,011.76x = 2,978,735.55
  5. Step 5: Solve for x
    x = 2,978,735.55/2,011.76
  6. Step 6: Final answer
    x = 1,480.66

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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.