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Finding the Fourth Proportional to 3,072.06, 4,611.15 and 1,341.90

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Solution

The fourth proportional to 3,072.06, 4,611.15 and 1,341.90 is: 2,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.06 : 4,611.15 = 1,341.90 : x
  2. Step 2: Convert to fraction form
    3,072.06/4,611.15 = 1,341.90/x
  3. Step 3: Cross multiply
    3,072.06x = 4,611.15 × 1,341.90
  4. Step 4: Simplify right side
    3,072.06x = 6,187,702.19
  5. Step 5: Solve for x
    x = 6,187,702.19/3,072.06
  6. Step 6: Final answer
    x = 2,014.19

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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.