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Finding the Fourth Proportional to 2,868, 4,302.08 and 920.40

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Solution

The fourth proportional to 2,868, 4,302.08 and 920.40 is: 1,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868 : 4,302.08 = 920.40 : x
  2. Step 2: Convert to fraction form
    2,868/4,302.08 = 920.40/x
  3. Step 3: Cross multiply
    2,868x = 4,302.08 × 920.40
  4. Step 4: Simplify right side
    2,868x = 3,959,634.43
  5. Step 5: Solve for x
    x = 3,959,634.43/2,868
  6. Step 6: Final answer
    x = 1,380.63

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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.