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Finding the Fourth Proportional to 3,019.65, 4,529.58 and 828.37

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Solution

The fourth proportional to 3,019.65, 4,529.58 and 828.37 is: 1,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.65 : 4,529.58 = 828.37 : x
  2. Step 2: Convert to fraction form
    3,019.65/4,529.58 = 828.37/x
  3. Step 3: Cross multiply
    3,019.65x = 4,529.58 × 828.37
  4. Step 4: Simplify right side
    3,019.65x = 3,752,168.18
  5. Step 5: Solve for x
    x = 3,752,168.18/3,019.65
  6. Step 6: Final answer
    x = 1,242.58

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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.