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Finding the Fourth Proportional to 2,716.13, 4,074.20 and 984.75

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Solution

The fourth proportional to 2,716.13, 4,074.20 and 984.75 is: 1,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.13 : 4,074.20 = 984.75 : x
  2. Step 2: Convert to fraction form
    2,716.13/4,074.20 = 984.75/x
  3. Step 3: Cross multiply
    2,716.13x = 4,074.20 × 984.75
  4. Step 4: Simplify right side
    2,716.13x = 4,012,063.53
  5. Step 5: Solve for x
    x = 4,012,063.53/2,716.13
  6. Step 6: Final answer
    x = 1,477.13

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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.