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Finding the Fourth Proportional to 1,721.44, 2,582.16 and 567.19

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Solution

The fourth proportional to 1,721.44, 2,582.16 and 567.19 is: 850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.44 : 2,582.16 = 567.19 : x
  2. Step 2: Convert to fraction form
    1,721.44/2,582.16 = 567.19/x
  3. Step 3: Cross multiply
    1,721.44x = 2,582.16 × 567.19
  4. Step 4: Simplify right side
    1,721.44x = 1,464,575.33
  5. Step 5: Solve for x
    x = 1,464,575.33/1,721.44
  6. Step 6: Final answer
    x = 850.79

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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.