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Finding the Fourth Proportional to 2,467.72, 3,695.28 and 1,644.76

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Solution

The fourth proportional to 2,467.72, 3,695.28 and 1,644.76 is: 2,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.72 : 3,695.28 = 1,644.76 : x
  2. Step 2: Convert to fraction form
    2,467.72/3,695.28 = 1,644.76/x
  3. Step 3: Cross multiply
    2,467.72x = 3,695.28 × 1,644.76
  4. Step 4: Simplify right side
    2,467.72x = 6,077,848.73
  5. Step 5: Solve for x
    x = 6,077,848.73/2,467.72
  6. Step 6: Final answer
    x = 2,462.94

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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.