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Finding the Fourth Proportional to 2,023.45, 2,834.75 and 2,023.45

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Solution

The fourth proportional to 2,023.45, 2,834.75 and 2,023.45 is: 2,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.45 : 2,834.75 = 2,023.45 : x
  2. Step 2: Convert to fraction form
    2,023.45/2,834.75 = 2,023.45/x
  3. Step 3: Cross multiply
    2,023.45x = 2,834.75 × 2,023.45
  4. Step 4: Simplify right side
    2,023.45x = 5,735,974.89
  5. Step 5: Solve for x
    x = 5,735,974.89/2,023.45
  6. Step 6: Final answer
    x = 2,834.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.