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Finding the Fourth Proportional to 2,022.60, 2,794.19 and 1,884.30

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Solution

The fourth proportional to 2,022.60, 2,794.19 and 1,884.30 is: 2,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.60 : 2,794.19 = 1,884.30 : x
  2. Step 2: Convert to fraction form
    2,022.60/2,794.19 = 1,884.30/x
  3. Step 3: Cross multiply
    2,022.60x = 2,794.19 × 1,884.30
  4. Step 4: Simplify right side
    2,022.60x = 5,265,082.80
  5. Step 5: Solve for x
    x = 5,265,082.80/2,022.60
  6. Step 6: Final answer
    x = 2,603.13

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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.