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Finding the Fourth Proportional to 3,021.84, 4,533.42 and 1,074.06

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Solution

The fourth proportional to 3,021.84, 4,533.42 and 1,074.06 is: 1,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.84 : 4,533.42 = 1,074.06 : x
  2. Step 2: Convert to fraction form
    3,021.84/4,533.42 = 1,074.06/x
  3. Step 3: Cross multiply
    3,021.84x = 4,533.42 × 1,074.06
  4. Step 4: Simplify right side
    3,021.84x = 4,869,165.09
  5. Step 5: Solve for x
    x = 4,869,165.09/3,021.84
  6. Step 6: Final answer
    x = 1,611.32

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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.