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Finding the Fourth Proportional to 2,022.35, 2,837.05 and 2,022.35

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Solution

The fourth proportional to 2,022.35, 2,837.05 and 2,022.35 is: 2,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.35 : 2,837.05 = 2,022.35 : x
  2. Step 2: Convert to fraction form
    2,022.35/2,837.05 = 2,022.35/x
  3. Step 3: Cross multiply
    2,022.35x = 2,837.05 × 2,022.35
  4. Step 4: Simplify right side
    2,022.35x = 5,737,508.07
  5. Step 5: Solve for x
    x = 5,737,508.07/2,022.35
  6. Step 6: Final answer
    x = 2,837.05

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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.