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Finding the Fourth Proportional to 2,050.81, 3,076.21 and 880.05

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Solution

The fourth proportional to 2,050.81, 3,076.21 and 880.05 is: 1,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.81 : 3,076.21 = 880.05 : x
  2. Step 2: Convert to fraction form
    2,050.81/3,076.21 = 880.05/x
  3. Step 3: Cross multiply
    2,050.81x = 3,076.21 × 880.05
  4. Step 4: Simplify right side
    2,050.81x = 2,707,218.61
  5. Step 5: Solve for x
    x = 2,707,218.61/2,050.81
  6. Step 6: Final answer
    x = 1,320.07

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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.