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Finding the Fourth Proportional to 1,512.86, 2,072.66 and 1,454.54

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Solution

The fourth proportional to 1,512.86, 2,072.66 and 1,454.54 is: 1,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.86 : 2,072.66 = 1,454.54 : x
  2. Step 2: Convert to fraction form
    1,512.86/2,072.66 = 1,454.54/x
  3. Step 3: Cross multiply
    1,512.86x = 2,072.66 × 1,454.54
  4. Step 4: Simplify right side
    1,512.86x = 3,014,749.24
  5. Step 5: Solve for x
    x = 3,014,749.24/1,512.86
  6. Step 6: Final answer
    x = 1,992.75

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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.