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Finding the Fourth Proportional to 2,003.25, 2,762.12 and 1,374.09

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Solution

The fourth proportional to 2,003.25, 2,762.12 and 1,374.09 is: 1,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.25 : 2,762.12 = 1,374.09 : x
  2. Step 2: Convert to fraction form
    2,003.25/2,762.12 = 1,374.09/x
  3. Step 3: Cross multiply
    2,003.25x = 2,762.12 × 1,374.09
  4. Step 4: Simplify right side
    2,003.25x = 3,795,394.60
  5. Step 5: Solve for x
    x = 3,795,394.60/2,003.25
  6. Step 6: Final answer
    x = 1,894.62

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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.