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Finding the Fourth Proportional to 3,064.89, 4,589.94 and 1,744.65

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Solution

The fourth proportional to 3,064.89, 4,589.94 and 1,744.65 is: 2,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.89 : 4,589.94 = 1,744.65 : x
  2. Step 2: Convert to fraction form
    3,064.89/4,589.94 = 1,744.65/x
  3. Step 3: Cross multiply
    3,064.89x = 4,589.94 × 1,744.65
  4. Step 4: Simplify right side
    3,064.89x = 8,007,838.82
  5. Step 5: Solve for x
    x = 8,007,838.82/3,064.89
  6. Step 6: Final answer
    x = 2,612.77

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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.