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Finding the Fourth Proportional to 2,714.26, 4,072.57 and 1,155.32

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Solution

The fourth proportional to 2,714.26, 4,072.57 and 1,155.32 is: 1,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.26 : 4,072.57 = 1,155.32 : x
  2. Step 2: Convert to fraction form
    2,714.26/4,072.57 = 1,155.32/x
  3. Step 3: Cross multiply
    2,714.26x = 4,072.57 × 1,155.32
  4. Step 4: Simplify right side
    2,714.26x = 4,705,121.57
  5. Step 5: Solve for x
    x = 4,705,121.57/2,714.26
  6. Step 6: Final answer
    x = 1,733.48

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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.