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Finding the Fourth Proportional to 2,048.35, 3,076.77 and 1,993.67

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Solution

The fourth proportional to 2,048.35, 3,076.77 and 1,993.67 is: 2,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.35 : 3,076.77 = 1,993.67 : x
  2. Step 2: Convert to fraction form
    2,048.35/3,076.77 = 1,993.67/x
  3. Step 3: Cross multiply
    2,048.35x = 3,076.77 × 1,993.67
  4. Step 4: Simplify right side
    2,048.35x = 6,134,064.05
  5. Step 5: Solve for x
    x = 6,134,064.05/2,048.35
  6. Step 6: Final answer
    x = 2,994.64

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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.