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Finding the Fourth Proportional to 3,012.80, 4,158.34 and 1,834.65

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Solution

The fourth proportional to 3,012.80, 4,158.34 and 1,834.65 is: 2,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.80 : 4,158.34 = 1,834.65 : x
  2. Step 2: Convert to fraction form
    3,012.80/4,158.34 = 1,834.65/x
  3. Step 3: Cross multiply
    3,012.80x = 4,158.34 × 1,834.65
  4. Step 4: Simplify right side
    3,012.80x = 7,629,093.89
  5. Step 5: Solve for x
    x = 7,629,093.89/3,012.80
  6. Step 6: Final answer
    x = 2,532.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.