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Finding the Fourth Proportional to 2,048.94, 3,070.17 and 1,074.06

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Solution

The fourth proportional to 2,048.94, 3,070.17 and 1,074.06 is: 1,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.94 : 3,070.17 = 1,074.06 : x
  2. Step 2: Convert to fraction form
    2,048.94/3,070.17 = 1,074.06/x
  3. Step 3: Cross multiply
    2,048.94x = 3,070.17 × 1,074.06
  4. Step 4: Simplify right side
    2,048.94x = 3,297,546.79
  5. Step 5: Solve for x
    x = 3,297,546.79/2,048.94
  6. Step 6: Final answer
    x = 1,609.39

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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.