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Finding the Fourth Proportional to 1,822.40, 2,733.72 and 668

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Solution

The fourth proportional to 1,822.40, 2,733.72 and 668 is: 1,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.40 : 2,733.72 = 668 : x
  2. Step 2: Convert to fraction form
    1,822.40/2,733.72 = 668/x
  3. Step 3: Cross multiply
    1,822.40x = 2,733.72 × 668
  4. Step 4: Simplify right side
    1,822.40x = 1,826,124.96
  5. Step 5: Solve for x
    x = 1,826,124.96/1,822.40
  6. Step 6: Final answer
    x = 1,002.04

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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.