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Finding the Fourth Proportional to 2,039.99, 2,813.94 and 1,647.54

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Solution

The fourth proportional to 2,039.99, 2,813.94 and 1,647.54 is: 2,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.99 : 2,813.94 = 1,647.54 : x
  2. Step 2: Convert to fraction form
    2,039.99/2,813.94 = 1,647.54/x
  3. Step 3: Cross multiply
    2,039.99x = 2,813.94 × 1,647.54
  4. Step 4: Simplify right side
    2,039.99x = 4,636,078.71
  5. Step 5: Solve for x
    x = 4,636,078.71/2,039.99
  6. Step 6: Final answer
    x = 2,272.60

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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.