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Finding the Fourth Proportional to 3,020.14, 4,529.72 and 828.36

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Solution

The fourth proportional to 3,020.14, 4,529.72 and 828.36 is: 1,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.14 : 4,529.72 = 828.36 : x
  2. Step 2: Convert to fraction form
    3,020.14/4,529.72 = 828.36/x
  3. Step 3: Cross multiply
    3,020.14x = 4,529.72 × 828.36
  4. Step 4: Simplify right side
    3,020.14x = 3,752,238.86
  5. Step 5: Solve for x
    x = 3,752,238.86/3,020.14
  6. Step 6: Final answer
    x = 1,242.41

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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.