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Finding the Fourth Proportional to 4,311.53, 6,461.89 and 1,843.46

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Solution

The fourth proportional to 4,311.53, 6,461.89 and 1,843.46 is: 2,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.53 : 6,461.89 = 1,843.46 : x
  2. Step 2: Convert to fraction form
    4,311.53/6,461.89 = 1,843.46/x
  3. Step 3: Cross multiply
    4,311.53x = 6,461.89 × 1,843.46
  4. Step 4: Simplify right side
    4,311.53x = 11,912,235.74
  5. Step 5: Solve for x
    x = 11,912,235.74/4,311.53
  6. Step 6: Final answer
    x = 2,762.88

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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.