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Finding the Fourth Proportional to 3,046.99, 4,562.29 and 2,164.90

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Solution

The fourth proportional to 3,046.99, 4,562.29 and 2,164.90 is: 3,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.99 : 4,562.29 = 2,164.90 : x
  2. Step 2: Convert to fraction form
    3,046.99/4,562.29 = 2,164.90/x
  3. Step 3: Cross multiply
    3,046.99x = 4,562.29 × 2,164.90
  4. Step 4: Simplify right side
    3,046.99x = 9,876,905.17
  5. Step 5: Solve for x
    x = 9,876,905.17/3,046.99
  6. Step 6: Final answer
    x = 3,241.53

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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.