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Finding the Fourth Proportional to 1,321.84, 1,819.97 and 1,006.09

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Solution

The fourth proportional to 1,321.84, 1,819.97 and 1,006.09 is: 1,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.84 : 1,819.97 = 1,006.09 : x
  2. Step 2: Convert to fraction form
    1,321.84/1,819.97 = 1,006.09/x
  3. Step 3: Cross multiply
    1,321.84x = 1,819.97 × 1,006.09
  4. Step 4: Simplify right side
    1,321.84x = 1,831,047.81
  5. Step 5: Solve for x
    x = 1,831,047.81/1,321.84
  6. Step 6: Final answer
    x = 1,385.23

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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.