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Finding the Fourth Proportional to 2,775.90, 3,830.80 and 1,517.01

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Solution

The fourth proportional to 2,775.90, 3,830.80 and 1,517.01 is: 2,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.90 : 3,830.80 = 1,517.01 : x
  2. Step 2: Convert to fraction form
    2,775.90/3,830.80 = 1,517.01/x
  3. Step 3: Cross multiply
    2,775.90x = 3,830.80 × 1,517.01
  4. Step 4: Simplify right side
    2,775.90x = 5,811,361.91
  5. Step 5: Solve for x
    x = 5,811,361.91/2,775.90
  6. Step 6: Final answer
    x = 2,093.51

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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.