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Finding the Fourth Proportional to 2,021.86, 2,790.21 and 1,235.62

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Solution

The fourth proportional to 2,021.86, 2,790.21 and 1,235.62 is: 1,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.86 : 2,790.21 = 1,235.62 : x
  2. Step 2: Convert to fraction form
    2,021.86/2,790.21 = 1,235.62/x
  3. Step 3: Cross multiply
    2,021.86x = 2,790.21 × 1,235.62
  4. Step 4: Simplify right side
    2,021.86x = 3,447,639.28
  5. Step 5: Solve for x
    x = 3,447,639.28/2,021.86
  6. Step 6: Final answer
    x = 1,705.18

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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.