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Finding the Fourth Proportional to 3,096.90, 4,641.44 and 1,796.85

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Solution

The fourth proportional to 3,096.90, 4,641.44 and 1,796.85 is: 2,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.90 : 4,641.44 = 1,796.85 : x
  2. Step 2: Convert to fraction form
    3,096.90/4,641.44 = 1,796.85/x
  3. Step 3: Cross multiply
    3,096.90x = 4,641.44 × 1,796.85
  4. Step 4: Simplify right side
    3,096.90x = 8,339,962.48
  5. Step 5: Solve for x
    x = 8,339,962.48/3,096.90
  6. Step 6: Final answer
    x = 2,693.00

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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.