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Finding the Fourth Proportional to 2,022.84, 2,790.81 and 1,550.88

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Solution

The fourth proportional to 2,022.84, 2,790.81 and 1,550.88 is: 2,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.84 : 2,790.81 = 1,550.88 : x
  2. Step 2: Convert to fraction form
    2,022.84/2,790.81 = 1,550.88/x
  3. Step 3: Cross multiply
    2,022.84x = 2,790.81 × 1,550.88
  4. Step 4: Simplify right side
    2,022.84x = 4,328,211.41
  5. Step 5: Solve for x
    x = 4,328,211.41/2,022.84
  6. Step 6: Final answer
    x = 2,139.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.