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Finding the Fourth Proportional to 3,118.54, 4,675.32 and 1,800.80

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Solution

The fourth proportional to 3,118.54, 4,675.32 and 1,800.80 is: 2,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.54 : 4,675.32 = 1,800.80 : x
  2. Step 2: Convert to fraction form
    3,118.54/4,675.32 = 1,800.80/x
  3. Step 3: Cross multiply
    3,118.54x = 4,675.32 × 1,800.80
  4. Step 4: Simplify right side
    3,118.54x = 8,419,300.76
  5. Step 5: Solve for x
    x = 8,419,300.76/3,118.54
  6. Step 6: Final answer
    x = 2,699.76

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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.