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Finding the Fourth Proportional to 1,984.46, 2,739 and 1,321.34

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Solution

The fourth proportional to 1,984.46, 2,739 and 1,321.34 is: 1,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.46 : 2,739 = 1,321.34 : x
  2. Step 2: Convert to fraction form
    1,984.46/2,739 = 1,321.34/x
  3. Step 3: Cross multiply
    1,984.46x = 2,739 × 1,321.34
  4. Step 4: Simplify right side
    1,984.46x = 3,619,150.26
  5. Step 5: Solve for x
    x = 3,619,150.26/1,984.46
  6. Step 6: Final answer
    x = 1,823.75

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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.