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Finding the Fourth Proportional to 1,984.60, 2,735.31 and 1,320.31

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Solution

The fourth proportional to 1,984.60, 2,735.31 and 1,320.31 is: 1,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.60 : 2,735.31 = 1,320.31 : x
  2. Step 2: Convert to fraction form
    1,984.60/2,735.31 = 1,320.31/x
  3. Step 3: Cross multiply
    1,984.60x = 2,735.31 × 1,320.31
  4. Step 4: Simplify right side
    1,984.60x = 3,611,457.15
  5. Step 5: Solve for x
    x = 3,611,457.15/1,984.60
  6. Step 6: Final answer
    x = 1,819.74

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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.