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Finding the Fourth Proportional to 4,076.60, 6,114.90 and 2,780.60

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Solution

The fourth proportional to 4,076.60, 6,114.90 and 2,780.60 is: 4,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.60 : 6,114.90 = 2,780.60 : x
  2. Step 2: Convert to fraction form
    4,076.60/6,114.90 = 2,780.60/x
  3. Step 3: Cross multiply
    4,076.60x = 6,114.90 × 2,780.60
  4. Step 4: Simplify right side
    4,076.60x = 17,003,090.94
  5. Step 5: Solve for x
    x = 17,003,090.94/4,076.60
  6. Step 6: Final answer
    x = 4,170.90

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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.