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Finding the Fourth Proportional to 1,471.67, 2,203.86 and 821.04

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Solution

The fourth proportional to 1,471.67, 2,203.86 and 821.04 is: 1,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.67 : 2,203.86 = 821.04 : x
  2. Step 2: Convert to fraction form
    1,471.67/2,203.86 = 821.04/x
  3. Step 3: Cross multiply
    1,471.67x = 2,203.86 × 821.04
  4. Step 4: Simplify right side
    1,471.67x = 1,809,457.21
  5. Step 5: Solve for x
    x = 1,809,457.21/1,471.67
  6. Step 6: Final answer
    x = 1,229.52

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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.