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Finding the Fourth Proportional to 3,019.40, 4,529.13 and 828.13

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Solution

The fourth proportional to 3,019.40, 4,529.13 and 828.13 is: 1,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.40 : 4,529.13 = 828.13 : x
  2. Step 2: Convert to fraction form
    3,019.40/4,529.13 = 828.13/x
  3. Step 3: Cross multiply
    3,019.40x = 4,529.13 × 828.13
  4. Step 4: Simplify right side
    3,019.40x = 3,750,708.43
  5. Step 5: Solve for x
    x = 3,750,708.43/3,019.40
  6. Step 6: Final answer
    x = 1,242.20

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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.