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Finding the Fourth Proportional to 3,312.24, 4,961.90 and 1,846.98

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Solution

The fourth proportional to 3,312.24, 4,961.90 and 1,846.98 is: 2,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.24 : 4,961.90 = 1,846.98 : x
  2. Step 2: Convert to fraction form
    3,312.24/4,961.90 = 1,846.98/x
  3. Step 3: Cross multiply
    3,312.24x = 4,961.90 × 1,846.98
  4. Step 4: Simplify right side
    3,312.24x = 9,164,530.06
  5. Step 5: Solve for x
    x = 9,164,530.06/3,312.24
  6. Step 6: Final answer
    x = 2,766.87

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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.