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Finding the Fourth Proportional to 2,050.99, 3,076.11 and 589.78

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Solution

The fourth proportional to 2,050.99, 3,076.11 and 589.78 is: 884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.99 : 3,076.11 = 589.78 : x
  2. Step 2: Convert to fraction form
    2,050.99/3,076.11 = 589.78/x
  3. Step 3: Cross multiply
    2,050.99x = 3,076.11 × 589.78
  4. Step 4: Simplify right side
    2,050.99x = 1,814,232.00
  5. Step 5: Solve for x
    x = 1,814,232.00/2,050.99
  6. Step 6: Final answer
    x = 884.57

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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.