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Finding the Fourth Proportional to 2,714.24, 4,064.16 and 2,162.72

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Solution

The fourth proportional to 2,714.24, 4,064.16 and 2,162.72 is: 3,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.24 : 4,064.16 = 2,162.72 : x
  2. Step 2: Convert to fraction form
    2,714.24/4,064.16 = 2,162.72/x
  3. Step 3: Cross multiply
    2,714.24x = 4,064.16 × 2,162.72
  4. Step 4: Simplify right side
    2,714.24x = 8,789,640.12
  5. Step 5: Solve for x
    x = 8,789,640.12/2,714.24
  6. Step 6: Final answer
    x = 3,238.34

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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.