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Finding the Fourth Proportional to 2,775.58, 3,830.13 and 1,516.38

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Solution

The fourth proportional to 2,775.58, 3,830.13 and 1,516.38 is: 2,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.58 : 3,830.13 = 1,516.38 : x
  2. Step 2: Convert to fraction form
    2,775.58/3,830.13 = 1,516.38/x
  3. Step 3: Cross multiply
    2,775.58x = 3,830.13 × 1,516.38
  4. Step 4: Simplify right side
    2,775.58x = 5,807,932.53
  5. Step 5: Solve for x
    x = 5,807,932.53/2,775.58
  6. Step 6: Final answer
    x = 2,092.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.