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Finding the Fourth Proportional to 2,714.13, 4,072.58 and 2,055.78

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Solution

The fourth proportional to 2,714.13, 4,072.58 and 2,055.78 is: 3,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.13 : 4,072.58 = 2,055.78 : x
  2. Step 2: Convert to fraction form
    2,714.13/4,072.58 = 2,055.78/x
  3. Step 3: Cross multiply
    2,714.13x = 4,072.58 × 2,055.78
  4. Step 4: Simplify right side
    2,714.13x = 8,372,325.94
  5. Step 5: Solve for x
    x = 8,372,325.94/2,714.13
  6. Step 6: Final answer
    x = 3,084.71

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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.