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Finding the Fourth Proportional to 3,074.19, 4,614 and 1,228.95

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Solution

The fourth proportional to 3,074.19, 4,614 and 1,228.95 is: 1,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.19 : 4,614 = 1,228.95 : x
  2. Step 2: Convert to fraction form
    3,074.19/4,614 = 1,228.95/x
  3. Step 3: Cross multiply
    3,074.19x = 4,614 × 1,228.95
  4. Step 4: Simplify right side
    3,074.19x = 5,670,375.30
  5. Step 5: Solve for x
    x = 5,670,375.30/3,074.19
  6. Step 6: Final answer
    x = 1,844.51

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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.