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Finding the Fourth Proportional to 2,714.09, 4,072.73 and 1,175.09

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Solution

The fourth proportional to 2,714.09, 4,072.73 and 1,175.09 is: 1,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.09 : 4,072.73 = 1,175.09 : x
  2. Step 2: Convert to fraction form
    2,714.09/4,072.73 = 1,175.09/x
  3. Step 3: Cross multiply
    2,714.09x = 4,072.73 × 1,175.09
  4. Step 4: Simplify right side
    2,714.09x = 4,785,798.06
  5. Step 5: Solve for x
    x = 4,785,798.06/2,714.09
  6. Step 6: Final answer
    x = 1,763.32

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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.