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Finding the Fourth Proportional to 2,775.86, 3,830.62 and 1,516.86

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Solution

The fourth proportional to 2,775.86, 3,830.62 and 1,516.86 is: 2,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.86 : 3,830.62 = 1,516.86 : x
  2. Step 2: Convert to fraction form
    2,775.86/3,830.62 = 1,516.86/x
  3. Step 3: Cross multiply
    2,775.86x = 3,830.62 × 1,516.86
  4. Step 4: Simplify right side
    2,775.86x = 5,810,514.25
  5. Step 5: Solve for x
    x = 5,810,514.25/2,775.86
  6. Step 6: Final answer
    x = 2,093.23

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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.