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Finding the Fourth Proportional to 3,093.90, 4,640.34 and 1,013.87

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Solution

The fourth proportional to 3,093.90, 4,640.34 and 1,013.87 is: 1,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.90 : 4,640.34 = 1,013.87 : x
  2. Step 2: Convert to fraction form
    3,093.90/4,640.34 = 1,013.87/x
  3. Step 3: Cross multiply
    3,093.90x = 4,640.34 × 1,013.87
  4. Step 4: Simplify right side
    3,093.90x = 4,704,701.52
  5. Step 5: Solve for x
    x = 4,704,701.52/3,093.90
  6. Step 6: Final answer
    x = 1,520.64

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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.