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Finding the Fourth Proportional to 2,746.56, 3,764.81 and 2,709.64

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Solution

The fourth proportional to 2,746.56, 3,764.81 and 2,709.64 is: 3,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.56 : 3,764.81 = 2,709.64 : x
  2. Step 2: Convert to fraction form
    2,746.56/3,764.81 = 2,709.64/x
  3. Step 3: Cross multiply
    2,746.56x = 3,764.81 × 2,709.64
  4. Step 4: Simplify right side
    2,746.56x = 10,201,279.77
  5. Step 5: Solve for x
    x = 10,201,279.77/2,746.56
  6. Step 6: Final answer
    x = 3,714.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.