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Finding the Fourth Proportional to 3,074.13, 4,611.19 and 1,022.13

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Solution

The fourth proportional to 3,074.13, 4,611.19 and 1,022.13 is: 1,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.13 : 4,611.19 = 1,022.13 : x
  2. Step 2: Convert to fraction form
    3,074.13/4,611.19 = 1,022.13/x
  3. Step 3: Cross multiply
    3,074.13x = 4,611.19 × 1,022.13
  4. Step 4: Simplify right side
    3,074.13x = 4,713,235.63
  5. Step 5: Solve for x
    x = 4,713,235.63/3,074.13
  6. Step 6: Final answer
    x = 1,533.19

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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.