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Finding the Fourth Proportional to 4,093.63, 6,141.68 and 1,460.79

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Solution

The fourth proportional to 4,093.63, 6,141.68 and 1,460.79 is: 2,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.63 : 6,141.68 = 1,460.79 : x
  2. Step 2: Convert to fraction form
    4,093.63/6,141.68 = 1,460.79/x
  3. Step 3: Cross multiply
    4,093.63x = 6,141.68 × 1,460.79
  4. Step 4: Simplify right side
    4,093.63x = 8,971,704.73
  5. Step 5: Solve for x
    x = 8,971,704.73/4,093.63
  6. Step 6: Final answer
    x = 2,191.63

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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.