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Finding the Fourth Proportional to 3,094.95, 4,640.37 and 1,014.23

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Solution

The fourth proportional to 3,094.95, 4,640.37 and 1,014.23 is: 1,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.95 : 4,640.37 = 1,014.23 : x
  2. Step 2: Convert to fraction form
    3,094.95/4,640.37 = 1,014.23/x
  3. Step 3: Cross multiply
    3,094.95x = 4,640.37 × 1,014.23
  4. Step 4: Simplify right side
    3,094.95x = 4,706,379.26
  5. Step 5: Solve for x
    x = 4,706,379.26/3,094.95
  6. Step 6: Final answer
    x = 1,520.66

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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.