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Finding the Fourth Proportional to 1,484.82, 2,227.23 and 389.28

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Solution

The fourth proportional to 1,484.82, 2,227.23 and 389.28 is: 583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.82 : 2,227.23 = 389.28 : x
  2. Step 2: Convert to fraction form
    1,484.82/2,227.23 = 389.28/x
  3. Step 3: Cross multiply
    1,484.82x = 2,227.23 × 389.28
  4. Step 4: Simplify right side
    1,484.82x = 867,016.09
  5. Step 5: Solve for x
    x = 867,016.09/1,484.82
  6. Step 6: Final answer
    x = 583.92

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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.