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Finding the Fourth Proportional to 2,719.10, 4,076.12 and 962.89

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Solution

The fourth proportional to 2,719.10, 4,076.12 and 962.89 is: 1,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.10 : 4,076.12 = 962.89 : x
  2. Step 2: Convert to fraction form
    2,719.10/4,076.12 = 962.89/x
  3. Step 3: Cross multiply
    2,719.10x = 4,076.12 × 962.89
  4. Step 4: Simplify right side
    2,719.10x = 3,924,847.40
  5. Step 5: Solve for x
    x = 3,924,847.40/2,719.10
  6. Step 6: Final answer
    x = 1,443.43

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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.