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Finding the Fourth Proportional to 3,311.64, 4,968.50 and 1,849.77

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Solution

The fourth proportional to 3,311.64, 4,968.50 and 1,849.77 is: 2,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.64 : 4,968.50 = 1,849.77 : x
  2. Step 2: Convert to fraction form
    3,311.64/4,968.50 = 1,849.77/x
  3. Step 3: Cross multiply
    3,311.64x = 4,968.50 × 1,849.77
  4. Step 4: Simplify right side
    3,311.64x = 9,190,573.00
  5. Step 5: Solve for x
    x = 9,190,573.00/3,311.64
  6. Step 6: Final answer
    x = 2,775.23

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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.