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Finding the Fourth Proportional to 4,230.82, 6,345.02 and 1,633.16

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Solution

The fourth proportional to 4,230.82, 6,345.02 and 1,633.16 is: 2,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.82 : 6,345.02 = 1,633.16 : x
  2. Step 2: Convert to fraction form
    4,230.82/6,345.02 = 1,633.16/x
  3. Step 3: Cross multiply
    4,230.82x = 6,345.02 × 1,633.16
  4. Step 4: Simplify right side
    4,230.82x = 10,362,432.86
  5. Step 5: Solve for x
    x = 10,362,432.86/4,230.82
  6. Step 6: Final answer
    x = 2,449.27

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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.