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Finding the Fourth Proportional to 2,176.80, 3,257.20 and 1,600.80

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Solution

The fourth proportional to 2,176.80, 3,257.20 and 1,600.80 is: 2,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.80 : 3,257.20 = 1,600.80 : x
  2. Step 2: Convert to fraction form
    2,176.80/3,257.20 = 1,600.80/x
  3. Step 3: Cross multiply
    2,176.80x = 3,257.20 × 1,600.80
  4. Step 4: Simplify right side
    2,176.80x = 5,214,125.76
  5. Step 5: Solve for x
    x = 5,214,125.76/2,176.80
  6. Step 6: Final answer
    x = 2,395.32

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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.