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Finding the Fourth Proportional to 2,090.78, 3,137.76 and 775.78

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Solution

The fourth proportional to 2,090.78, 3,137.76 and 775.78 is: 1,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.78 : 3,137.76 = 775.78 : x
  2. Step 2: Convert to fraction form
    2,090.78/3,137.76 = 775.78/x
  3. Step 3: Cross multiply
    2,090.78x = 3,137.76 × 775.78
  4. Step 4: Simplify right side
    2,090.78x = 2,434,211.45
  5. Step 5: Solve for x
    x = 2,434,211.45/2,090.78
  6. Step 6: Final answer
    x = 1,164.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.