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Finding the Fourth Proportional to 1,873.21, 2,583.69 and 1,313.80

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Solution

The fourth proportional to 1,873.21, 2,583.69 and 1,313.80 is: 1,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.21 : 2,583.69 = 1,313.80 : x
  2. Step 2: Convert to fraction form
    1,873.21/2,583.69 = 1,313.80/x
  3. Step 3: Cross multiply
    1,873.21x = 2,583.69 × 1,313.80
  4. Step 4: Simplify right side
    1,873.21x = 3,394,450.22
  5. Step 5: Solve for x
    x = 3,394,450.22/1,873.21
  6. Step 6: Final answer
    x = 1,812.11

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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.