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Finding the Fourth Proportional to 2,104.98, 3,156.99 and 1,180.95

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Solution

The fourth proportional to 2,104.98, 3,156.99 and 1,180.95 is: 1,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.98 : 3,156.99 = 1,180.95 : x
  2. Step 2: Convert to fraction form
    2,104.98/3,156.99 = 1,180.95/x
  3. Step 3: Cross multiply
    2,104.98x = 3,156.99 × 1,180.95
  4. Step 4: Simplify right side
    2,104.98x = 3,728,247.34
  5. Step 5: Solve for x
    x = 3,728,247.34/2,104.98
  6. Step 6: Final answer
    x = 1,771.16

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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.