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Finding the Fourth Proportional to 1,234.86, 1,853.07 and 541.54

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Solution

The fourth proportional to 1,234.86, 1,853.07 and 541.54 is: 812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.86 : 1,853.07 = 541.54 : x
  2. Step 2: Convert to fraction form
    1,234.86/1,853.07 = 541.54/x
  3. Step 3: Cross multiply
    1,234.86x = 1,853.07 × 541.54
  4. Step 4: Simplify right side
    1,234.86x = 1,003,511.53
  5. Step 5: Solve for x
    x = 1,003,511.53/1,234.86
  6. Step 6: Final answer
    x = 812.65

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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.