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Finding the Fourth Proportional to 2,709.14, 3,737.49 and 1,825.22

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Solution

The fourth proportional to 2,709.14, 3,737.49 and 1,825.22 is: 2,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.14 : 3,737.49 = 1,825.22 : x
  2. Step 2: Convert to fraction form
    2,709.14/3,737.49 = 1,825.22/x
  3. Step 3: Cross multiply
    2,709.14x = 3,737.49 × 1,825.22
  4. Step 4: Simplify right side
    2,709.14x = 6,821,741.50
  5. Step 5: Solve for x
    x = 6,821,741.50/2,709.14
  6. Step 6: Final answer
    x = 2,518.05

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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.