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Finding the Fourth Proportional to 2,852.94, 4,279.67 and 905.43

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Solution

The fourth proportional to 2,852.94, 4,279.67 and 905.43 is: 1,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.94 : 4,279.67 = 905.43 : x
  2. Step 2: Convert to fraction form
    2,852.94/4,279.67 = 905.43/x
  3. Step 3: Cross multiply
    2,852.94x = 4,279.67 × 905.43
  4. Step 4: Simplify right side
    2,852.94x = 3,874,941.61
  5. Step 5: Solve for x
    x = 3,874,941.61/2,852.94
  6. Step 6: Final answer
    x = 1,358.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.