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Finding the Fourth Proportional to 3,093.85, 4,641.00 and 1,013.66

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Solution

The fourth proportional to 3,093.85, 4,641.00 and 1,013.66 is: 1,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.85 : 4,641.00 = 1,013.66 : x
  2. Step 2: Convert to fraction form
    3,093.85/4,641.00 = 1,013.66/x
  3. Step 3: Cross multiply
    3,093.85x = 4,641.00 × 1,013.66
  4. Step 4: Simplify right side
    3,093.85x = 4,704,412.56
  5. Step 5: Solve for x
    x = 4,704,412.56/3,093.85
  6. Step 6: Final answer
    x = 1,520.57

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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.