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Finding the Fourth Proportional to 2,858.49, 4,286.66 and 983.85

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Solution

The fourth proportional to 2,858.49, 4,286.66 and 983.85 is: 1,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.49 : 4,286.66 = 983.85 : x
  2. Step 2: Convert to fraction form
    2,858.49/4,286.66 = 983.85/x
  3. Step 3: Cross multiply
    2,858.49x = 4,286.66 × 983.85
  4. Step 4: Simplify right side
    2,858.49x = 4,217,430.44
  5. Step 5: Solve for x
    x = 4,217,430.44/2,858.49
  6. Step 6: Final answer
    x = 1,475.41

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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.