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Finding the Fourth Proportional to 1,721.99, 2,582.96 and 423.47

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Solution

The fourth proportional to 1,721.99, 2,582.96 and 423.47 is: 635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.99 : 2,582.96 = 423.47 : x
  2. Step 2: Convert to fraction form
    1,721.99/2,582.96 = 423.47/x
  3. Step 3: Cross multiply
    1,721.99x = 2,582.96 × 423.47
  4. Step 4: Simplify right side
    1,721.99x = 1,093,806.07
  5. Step 5: Solve for x
    x = 1,093,806.07/1,721.99
  6. Step 6: Final answer
    x = 635.20

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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.