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Finding the Fourth Proportional to 1,456.44, 1,992.11 and 1,433.76

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Solution

The fourth proportional to 1,456.44, 1,992.11 and 1,433.76 is: 1,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.44 : 1,992.11 = 1,433.76 : x
  2. Step 2: Convert to fraction form
    1,456.44/1,992.11 = 1,433.76/x
  3. Step 3: Cross multiply
    1,456.44x = 1,992.11 × 1,433.76
  4. Step 4: Simplify right side
    1,456.44x = 2,856,200.46
  5. Step 5: Solve for x
    x = 2,856,200.46/1,456.44
  6. Step 6: Final answer
    x = 1,961.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.