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Finding the Fourth Proportional to 2,807.44, 4,208.70 and 1,074.85

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Solution

The fourth proportional to 2,807.44, 4,208.70 and 1,074.85 is: 1,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.44 : 4,208.70 = 1,074.85 : x
  2. Step 2: Convert to fraction form
    2,807.44/4,208.70 = 1,074.85/x
  3. Step 3: Cross multiply
    2,807.44x = 4,208.70 × 1,074.85
  4. Step 4: Simplify right side
    2,807.44x = 4,523,710.67
  5. Step 5: Solve for x
    x = 4,523,710.67/2,807.44
  6. Step 6: Final answer
    x = 1,611.33

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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.