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Finding the Fourth Proportional to 2,009.76, 3,016.56 and 984.48

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Solution

The fourth proportional to 2,009.76, 3,016.56 and 984.48 is: 1,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.76 : 3,016.56 = 984.48 : x
  2. Step 2: Convert to fraction form
    2,009.76/3,016.56 = 984.48/x
  3. Step 3: Cross multiply
    2,009.76x = 3,016.56 × 984.48
  4. Step 4: Simplify right side
    2,009.76x = 2,969,742.99
  5. Step 5: Solve for x
    x = 2,969,742.99/2,009.76
  6. Step 6: Final answer
    x = 1,477.66

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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.