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Finding the Fourth Proportional to 1,615.23, 2,422.92 and 519.60

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Solution

The fourth proportional to 1,615.23, 2,422.92 and 519.60 is: 779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.23 : 2,422.92 = 519.60 : x
  2. Step 2: Convert to fraction form
    1,615.23/2,422.92 = 519.60/x
  3. Step 3: Cross multiply
    1,615.23x = 2,422.92 × 519.60
  4. Step 4: Simplify right side
    1,615.23x = 1,258,949.23
  5. Step 5: Solve for x
    x = 1,258,949.23/1,615.23
  6. Step 6: Final answer
    x = 779.42

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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.