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Finding the Fourth Proportional to 2,858.82, 4,288.86 and 910.98

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Solution

The fourth proportional to 2,858.82, 4,288.86 and 910.98 is: 1,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.82 : 4,288.86 = 910.98 : x
  2. Step 2: Convert to fraction form
    2,858.82/4,288.86 = 910.98/x
  3. Step 3: Cross multiply
    2,858.82x = 4,288.86 × 910.98
  4. Step 4: Simplify right side
    2,858.82x = 3,907,065.68
  5. Step 5: Solve for x
    x = 3,907,065.68/2,858.82
  6. Step 6: Final answer
    x = 1,366.67

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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.