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Finding the Fourth Proportional to 2,050.85, 3,076.26 and 511.85

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Solution

The fourth proportional to 2,050.85, 3,076.26 and 511.85 is: 767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.85 : 3,076.26 = 511.85 : x
  2. Step 2: Convert to fraction form
    2,050.85/3,076.26 = 511.85/x
  3. Step 3: Cross multiply
    2,050.85x = 3,076.26 × 511.85
  4. Step 4: Simplify right side
    2,050.85x = 1,574,583.68
  5. Step 5: Solve for x
    x = 1,574,583.68/2,050.85
  6. Step 6: Final answer
    x = 767.77

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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.