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Finding the Fourth Proportional to 3,104.53, 4,658.31 and 1,460.84

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Solution

The fourth proportional to 3,104.53, 4,658.31 and 1,460.84 is: 2,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.53 : 4,658.31 = 1,460.84 : x
  2. Step 2: Convert to fraction form
    3,104.53/4,658.31 = 1,460.84/x
  3. Step 3: Cross multiply
    3,104.53x = 4,658.31 × 1,460.84
  4. Step 4: Simplify right side
    3,104.53x = 6,805,022.29
  5. Step 5: Solve for x
    x = 6,805,022.29/3,104.53
  6. Step 6: Final answer
    x = 2,191.97

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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.