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Finding the Fourth Proportional to 2,775.69, 3,830.43 and 1,516.81

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Solution

The fourth proportional to 2,775.69, 3,830.43 and 1,516.81 is: 2,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.69 : 3,830.43 = 1,516.81 : x
  2. Step 2: Convert to fraction form
    2,775.69/3,830.43 = 1,516.81/x
  3. Step 3: Cross multiply
    2,775.69x = 3,830.43 × 1,516.81
  4. Step 4: Simplify right side
    2,775.69x = 5,810,034.53
  5. Step 5: Solve for x
    x = 5,810,034.53/2,775.69
  6. Step 6: Final answer
    x = 2,093.19

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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.