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Finding the Fourth Proportional to 2,456.44, 3,676.64 and 1,532.84

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Solution

The fourth proportional to 2,456.44, 3,676.64 and 1,532.84 is: 2,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.44 : 3,676.64 = 1,532.84 : x
  2. Step 2: Convert to fraction form
    2,456.44/3,676.64 = 1,532.84/x
  3. Step 3: Cross multiply
    2,456.44x = 3,676.64 × 1,532.84
  4. Step 4: Simplify right side
    2,456.44x = 5,635,700.86
  5. Step 5: Solve for x
    x = 5,635,700.86/2,456.44
  6. Step 6: Final answer
    x = 2,294.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.