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Finding the Fourth Proportional to 1,615.04, 2,422.79 and 519.03

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Solution

The fourth proportional to 1,615.04, 2,422.79 and 519.03 is: 778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.04 : 2,422.79 = 519.03 : x
  2. Step 2: Convert to fraction form
    1,615.04/2,422.79 = 519.03/x
  3. Step 3: Cross multiply
    1,615.04x = 2,422.79 × 519.03
  4. Step 4: Simplify right side
    1,615.04x = 1,257,498.10
  5. Step 5: Solve for x
    x = 1,257,498.10/1,615.04
  6. Step 6: Final answer
    x = 778.62

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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.