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Finding the Fourth Proportional to 1,676.44, 2,314.16 and 1,632.28

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Solution

The fourth proportional to 1,676.44, 2,314.16 and 1,632.28 is: 2,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.44 : 2,314.16 = 1,632.28 : x
  2. Step 2: Convert to fraction form
    1,676.44/2,314.16 = 1,632.28/x
  3. Step 3: Cross multiply
    1,676.44x = 2,314.16 × 1,632.28
  4. Step 4: Simplify right side
    1,676.44x = 3,777,357.08
  5. Step 5: Solve for x
    x = 3,777,357.08/1,676.44
  6. Step 6: Final answer
    x = 2,253.20

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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.