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Finding the Fourth Proportional to 1,646.23, 2,469.08 and 550.59

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Solution

The fourth proportional to 1,646.23, 2,469.08 and 550.59 is: 825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.23 : 2,469.08 = 550.59 : x
  2. Step 2: Convert to fraction form
    1,646.23/2,469.08 = 550.59/x
  3. Step 3: Cross multiply
    1,646.23x = 2,469.08 × 550.59
  4. Step 4: Simplify right side
    1,646.23x = 1,359,448.00
  5. Step 5: Solve for x
    x = 1,359,448.00/1,646.23
  6. Step 6: Final answer
    x = 825.79

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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.