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Finding the Fourth Proportional to 2,881.37, 4,321.54 and 800.86

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Solution

The fourth proportional to 2,881.37, 4,321.54 and 800.86 is: 1,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.37 : 4,321.54 = 800.86 : x
  2. Step 2: Convert to fraction form
    2,881.37/4,321.54 = 800.86/x
  3. Step 3: Cross multiply
    2,881.37x = 4,321.54 × 800.86
  4. Step 4: Simplify right side
    2,881.37x = 3,460,922.91
  5. Step 5: Solve for x
    x = 3,460,922.91/2,881.37
  6. Step 6: Final answer
    x = 1,201.14

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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.