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Finding the Fourth Proportional to 1,721.77, 2,582.41 and 567.13

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Solution

The fourth proportional to 1,721.77, 2,582.41 and 567.13 is: 850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.77 : 2,582.41 = 567.13 : x
  2. Step 2: Convert to fraction form
    1,721.77/2,582.41 = 567.13/x
  3. Step 3: Cross multiply
    1,721.77x = 2,582.41 × 567.13
  4. Step 4: Simplify right side
    1,721.77x = 1,464,546.44
  5. Step 5: Solve for x
    x = 1,464,546.44/1,721.77
  6. Step 6: Final answer
    x = 850.61

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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.