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Finding the Fourth Proportional to 3,077.41, 4,611.24 and 1,615.09

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Solution

The fourth proportional to 3,077.41, 4,611.24 and 1,615.09 is: 2,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.41 : 4,611.24 = 1,615.09 : x
  2. Step 2: Convert to fraction form
    3,077.41/4,611.24 = 1,615.09/x
  3. Step 3: Cross multiply
    3,077.41x = 4,611.24 × 1,615.09
  4. Step 4: Simplify right side
    3,077.41x = 7,447,567.61
  5. Step 5: Solve for x
    x = 7,447,567.61/3,077.41
  6. Step 6: Final answer
    x = 2,420.08

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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.