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Finding the Fourth Proportional to 2,305.33, 3,463.11 and 1,428.48

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Solution

The fourth proportional to 2,305.33, 3,463.11 and 1,428.48 is: 2,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.33 : 3,463.11 = 1,428.48 : x
  2. Step 2: Convert to fraction form
    2,305.33/3,463.11 = 1,428.48/x
  3. Step 3: Cross multiply
    2,305.33x = 3,463.11 × 1,428.48
  4. Step 4: Simplify right side
    2,305.33x = 4,946,983.37
  5. Step 5: Solve for x
    x = 4,946,983.37/2,305.33
  6. Step 6: Final answer
    x = 2,145.89

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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.