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Finding the Fourth Proportional to 2,932.72, 4,046.64 and 1,673.20

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Solution

The fourth proportional to 2,932.72, 4,046.64 and 1,673.20 is: 2,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.72 : 4,046.64 = 1,673.20 : x
  2. Step 2: Convert to fraction form
    2,932.72/4,046.64 = 1,673.20/x
  3. Step 3: Cross multiply
    2,932.72x = 4,046.64 × 1,673.20
  4. Step 4: Simplify right side
    2,932.72x = 6,770,838.05
  5. Step 5: Solve for x
    x = 6,770,838.05/2,932.72
  6. Step 6: Final answer
    x = 2,308.72

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