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Finding the Fourth Proportional to 2,090.60, 3,135.90 and 2,076.20

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Solution

The fourth proportional to 2,090.60, 3,135.90 and 2,076.20 is: 3,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.60 : 3,135.90 = 2,076.20 : x
  2. Step 2: Convert to fraction form
    2,090.60/3,135.90 = 2,076.20/x
  3. Step 3: Cross multiply
    2,090.60x = 3,135.90 × 2,076.20
  4. Step 4: Simplify right side
    2,090.60x = 6,510,755.58
  5. Step 5: Solve for x
    x = 6,510,755.58/2,090.60
  6. Step 6: Final answer
    x = 3,114.30

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