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Finding the Fourth Proportional to 1,676.55, 2,311.11 and 1,321.86

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Solution

The fourth proportional to 1,676.55, 2,311.11 and 1,321.86 is: 1,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.55 : 2,311.11 = 1,321.86 : x
  2. Step 2: Convert to fraction form
    1,676.55/2,311.11 = 1,321.86/x
  3. Step 3: Cross multiply
    1,676.55x = 2,311.11 × 1,321.86
  4. Step 4: Simplify right side
    1,676.55x = 3,054,963.86
  5. Step 5: Solve for x
    x = 3,054,963.86/1,676.55
  6. Step 6: Final answer
    x = 1,822.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.