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Finding the Fourth Proportional to 3,432.08, 5,143.80 and 1,676

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Solution

The fourth proportional to 3,432.08, 5,143.80 and 1,676 is: 2,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.08 : 5,143.80 = 1,676 : x
  2. Step 2: Convert to fraction form
    3,432.08/5,143.80 = 1,676/x
  3. Step 3: Cross multiply
    3,432.08x = 5,143.80 × 1,676
  4. Step 4: Simplify right side
    3,432.08x = 8,621,008.80
  5. Step 5: Solve for x
    x = 8,621,008.80/3,432.08
  6. Step 6: Final answer
    x = 2,511.89

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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.