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Finding the Fourth Proportional to 1,721.34, 2,582.19 and 567.18

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Solution

The fourth proportional to 1,721.34, 2,582.19 and 567.18 is: 850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.34 : 2,582.19 = 567.18 : x
  2. Step 2: Convert to fraction form
    1,721.34/2,582.19 = 567.18/x
  3. Step 3: Cross multiply
    1,721.34x = 2,582.19 × 567.18
  4. Step 4: Simplify right side
    1,721.34x = 1,464,566.52
  5. Step 5: Solve for x
    x = 1,464,566.52/1,721.34
  6. Step 6: Final answer
    x = 850.83

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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.