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Finding the Fourth Proportional to 2,137.19, 3,205.02 and 821.03

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Solution

The fourth proportional to 2,137.19, 3,205.02 and 821.03 is: 1,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.19 : 3,205.02 = 821.03 : x
  2. Step 2: Convert to fraction form
    2,137.19/3,205.02 = 821.03/x
  3. Step 3: Cross multiply
    2,137.19x = 3,205.02 × 821.03
  4. Step 4: Simplify right side
    2,137.19x = 2,631,417.57
  5. Step 5: Solve for x
    x = 2,631,417.57/2,137.19
  6. Step 6: Final answer
    x = 1,231.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.