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Finding the Fourth Proportional to 2,317.06, 3,474.71 and 756.69

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Solution

The fourth proportional to 2,317.06, 3,474.71 and 756.69 is: 1,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.06 : 3,474.71 = 756.69 : x
  2. Step 2: Convert to fraction form
    2,317.06/3,474.71 = 756.69/x
  3. Step 3: Cross multiply
    2,317.06x = 3,474.71 × 756.69
  4. Step 4: Simplify right side
    2,317.06x = 2,629,278.31
  5. Step 5: Solve for x
    x = 2,629,278.31/2,317.06
  6. Step 6: Final answer
    x = 1,134.75

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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.