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Finding the Fourth Proportional to 2,780.46, 3,835.62 and 1,600.80

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Solution

The fourth proportional to 2,780.46, 3,835.62 and 1,600.80 is: 2,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.46 : 3,835.62 = 1,600.80 : x
  2. Step 2: Convert to fraction form
    2,780.46/3,835.62 = 1,600.80/x
  3. Step 3: Cross multiply
    2,780.46x = 3,835.62 × 1,600.80
  4. Step 4: Simplify right side
    2,780.46x = 6,140,060.50
  5. Step 5: Solve for x
    x = 6,140,060.50/2,780.46
  6. Step 6: Final answer
    x = 2,208.29

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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.