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Finding the Fourth Proportional to 2,716.24, 4,065 and 1,675.84

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Solution

The fourth proportional to 2,716.24, 4,065 and 1,675.84 is: 2,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.24 : 4,065 = 1,675.84 : x
  2. Step 2: Convert to fraction form
    2,716.24/4,065 = 1,675.84/x
  3. Step 3: Cross multiply
    2,716.24x = 4,065 × 1,675.84
  4. Step 4: Simplify right side
    2,716.24x = 6,812,289.60
  5. Step 5: Solve for x
    x = 6,812,289.60/2,716.24
  6. Step 6: Final answer
    x = 2,507.99

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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.