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Finding the Fourth Proportional to 4,682.24, 7,018.96 and 1,602.08

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Solution

The fourth proportional to 4,682.24, 7,018.96 and 1,602.08 is: 2,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.24 : 7,018.96 = 1,602.08 : x
  2. Step 2: Convert to fraction form
    4,682.24/7,018.96 = 1,602.08/x
  3. Step 3: Cross multiply
    4,682.24x = 7,018.96 × 1,602.08
  4. Step 4: Simplify right side
    4,682.24x = 11,244,935.44
  5. Step 5: Solve for x
    x = 11,244,935.44/4,682.24
  6. Step 6: Final answer
    x = 2,401.61

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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.