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Finding the Fourth Proportional to 2,714.94, 4,072.32 and 1,254.09

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Solution

The fourth proportional to 2,714.94, 4,072.32 and 1,254.09 is: 1,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.94 : 4,072.32 = 1,254.09 : x
  2. Step 2: Convert to fraction form
    2,714.94/4,072.32 = 1,254.09/x
  3. Step 3: Cross multiply
    2,714.94x = 4,072.32 × 1,254.09
  4. Step 4: Simplify right side
    2,714.94x = 5,107,055.79
  5. Step 5: Solve for x
    x = 5,107,055.79/2,714.94
  6. Step 6: Final answer
    x = 1,881.09

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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.