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Finding the Fourth Proportional to 1,676.33, 2,512.67 and 1,432.12

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Solution

The fourth proportional to 1,676.33, 2,512.67 and 1,432.12 is: 2,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.33 : 2,512.67 = 1,432.12 : x
  2. Step 2: Convert to fraction form
    1,676.33/2,512.67 = 1,432.12/x
  3. Step 3: Cross multiply
    1,676.33x = 2,512.67 × 1,432.12
  4. Step 4: Simplify right side
    1,676.33x = 3,598,444.96
  5. Step 5: Solve for x
    x = 3,598,444.96/1,676.33
  6. Step 6: Final answer
    x = 2,146.62

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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.