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Finding the Fourth Proportional to 1,781.95, 2,673.01 and 550.20

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Solution

The fourth proportional to 1,781.95, 2,673.01 and 550.20 is: 825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.95 : 2,673.01 = 550.20 : x
  2. Step 2: Convert to fraction form
    1,781.95/2,673.01 = 550.20/x
  3. Step 3: Cross multiply
    1,781.95x = 2,673.01 × 550.20
  4. Step 4: Simplify right side
    1,781.95x = 1,470,690.10
  5. Step 5: Solve for x
    x = 1,470,690.10/1,781.95
  6. Step 6: Final answer
    x = 825.33

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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.