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Finding the Fourth Proportional to 2,775.73, 3,830.50 and 1,516.80

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Solution

The fourth proportional to 2,775.73, 3,830.50 and 1,516.80 is: 2,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.73 : 3,830.50 = 1,516.80 : x
  2. Step 2: Convert to fraction form
    2,775.73/3,830.50 = 1,516.80/x
  3. Step 3: Cross multiply
    2,775.73x = 3,830.50 × 1,516.80
  4. Step 4: Simplify right side
    2,775.73x = 5,810,102.40
  5. Step 5: Solve for x
    x = 5,810,102.40/2,775.73
  6. Step 6: Final answer
    x = 2,093.18

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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.