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Finding the Fourth Proportional to 2,022.53, 2,790.11 and 1,314.50

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Solution

The fourth proportional to 2,022.53, 2,790.11 and 1,314.50 is: 1,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.53 : 2,790.11 = 1,314.50 : x
  2. Step 2: Convert to fraction form
    2,022.53/2,790.11 = 1,314.50/x
  3. Step 3: Cross multiply
    2,022.53x = 2,790.11 × 1,314.50
  4. Step 4: Simplify right side
    2,022.53x = 3,667,579.07
  5. Step 5: Solve for x
    x = 3,667,579.07/2,022.53
  6. Step 6: Final answer
    x = 1,813.37

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Why These Related Problems?

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