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Finding the Fourth Proportional to 1,938.66, 2,672.53 and 1,672.30

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Solution

The fourth proportional to 1,938.66, 2,672.53 and 1,672.30 is: 2,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.66 : 2,672.53 = 1,672.30 : x
  2. Step 2: Convert to fraction form
    1,938.66/2,672.53 = 1,672.30/x
  3. Step 3: Cross multiply
    1,938.66x = 2,672.53 × 1,672.30
  4. Step 4: Simplify right side
    1,938.66x = 4,469,271.92
  5. Step 5: Solve for x
    x = 4,469,271.92/1,938.66
  6. Step 6: Final answer
    x = 2,305.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.