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Finding the Fourth Proportional to 1,485.05, 2,049.34 and 821.89

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Solution

The fourth proportional to 1,485.05, 2,049.34 and 821.89 is: 1,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.05 : 2,049.34 = 821.89 : x
  2. Step 2: Convert to fraction form
    1,485.05/2,049.34 = 821.89/x
  3. Step 3: Cross multiply
    1,485.05x = 2,049.34 × 821.89
  4. Step 4: Simplify right side
    1,485.05x = 1,684,324.87
  5. Step 5: Solve for x
    x = 1,684,324.87/1,485.05
  6. Step 6: Final answer
    x = 1,134.19

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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.