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Finding the Fourth Proportional to 3,019.44, 4,529.16 and 828.18

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Solution

The fourth proportional to 3,019.44, 4,529.16 and 828.18 is: 1,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.44 : 4,529.16 = 828.18 : x
  2. Step 2: Convert to fraction form
    3,019.44/4,529.16 = 828.18/x
  3. Step 3: Cross multiply
    3,019.44x = 4,529.16 × 828.18
  4. Step 4: Simplify right side
    3,019.44x = 3,750,959.73
  5. Step 5: Solve for x
    x = 3,750,959.73/3,019.44
  6. Step 6: Final answer
    x = 1,242.27

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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.