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Finding the Fourth Proportional to 1,351.41, 1,876.17 and 1,311.32

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Solution

The fourth proportional to 1,351.41, 1,876.17 and 1,311.32 is: 1,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.41 : 1,876.17 = 1,311.32 : x
  2. Step 2: Convert to fraction form
    1,351.41/1,876.17 = 1,311.32/x
  3. Step 3: Cross multiply
    1,351.41x = 1,876.17 × 1,311.32
  4. Step 4: Simplify right side
    1,351.41x = 2,460,249.86
  5. Step 5: Solve for x
    x = 2,460,249.86/1,351.41
  6. Step 6: Final answer
    x = 1,820.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.