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Finding the Fourth Proportional to 1,646.26, 2,468.68 and 550.33

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Solution

The fourth proportional to 1,646.26, 2,468.68 and 550.33 is: 825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.26 : 2,468.68 = 550.33 : x
  2. Step 2: Convert to fraction form
    1,646.26/2,468.68 = 550.33/x
  3. Step 3: Cross multiply
    1,646.26x = 2,468.68 × 550.33
  4. Step 4: Simplify right side
    1,646.26x = 1,358,581.12
  5. Step 5: Solve for x
    x = 1,358,581.12/1,646.26
  6. Step 6: Final answer
    x = 825.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.