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Finding the Fourth Proportional to 3,175.20, 4,762.80 and 1,615.20

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Solution

The fourth proportional to 3,175.20, 4,762.80 and 1,615.20 is: 2,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.20 : 4,762.80 = 1,615.20 : x
  2. Step 2: Convert to fraction form
    3,175.20/4,762.80 = 1,615.20/x
  3. Step 3: Cross multiply
    3,175.20x = 4,762.80 × 1,615.20
  4. Step 4: Simplify right side
    3,175.20x = 7,692,874.56
  5. Step 5: Solve for x
    x = 7,692,874.56/3,175.20
  6. Step 6: Final answer
    x = 2,422.80

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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.