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Finding the Fourth Proportional to 2,852.99, 4,279.49 and 905.35

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Solution

The fourth proportional to 2,852.99, 4,279.49 and 905.35 is: 1,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.99 : 4,279.49 = 905.35 : x
  2. Step 2: Convert to fraction form
    2,852.99/4,279.49 = 905.35/x
  3. Step 3: Cross multiply
    2,852.99x = 4,279.49 × 905.35
  4. Step 4: Simplify right side
    2,852.99x = 3,874,436.27
  5. Step 5: Solve for x
    x = 3,874,436.27/2,852.99
  6. Step 6: Final answer
    x = 1,358.03

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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.