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Finding the Fourth Proportional to 2,714.04, 3,743.89 and 1,768.64

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Solution

The fourth proportional to 2,714.04, 3,743.89 and 1,768.64 is: 2,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.04 : 3,743.89 = 1,768.64 : x
  2. Step 2: Convert to fraction form
    2,714.04/3,743.89 = 1,768.64/x
  3. Step 3: Cross multiply
    2,714.04x = 3,743.89 × 1,768.64
  4. Step 4: Simplify right side
    2,714.04x = 6,621,570.47
  5. Step 5: Solve for x
    x = 6,621,570.47/2,714.04
  6. Step 6: Final answer
    x = 2,439.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.