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Finding the Fourth Proportional to 1,811.87, 2,716.27 and 717.01

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Solution

The fourth proportional to 1,811.87, 2,716.27 and 717.01 is: 1,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.87 : 2,716.27 = 717.01 : x
  2. Step 2: Convert to fraction form
    1,811.87/2,716.27 = 717.01/x
  3. Step 3: Cross multiply
    1,811.87x = 2,716.27 × 717.01
  4. Step 4: Simplify right side
    1,811.87x = 1,947,579.17
  5. Step 5: Solve for x
    x = 1,947,579.17/1,811.87
  6. Step 6: Final answer
    x = 1,074.90

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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.