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Finding the Fourth Proportional to 4,406.72, 6,610.88 and 1,633.44

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Solution

The fourth proportional to 4,406.72, 6,610.88 and 1,633.44 is: 2,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.72 : 6,610.88 = 1,633.44 : x
  2. Step 2: Convert to fraction form
    4,406.72/6,610.88 = 1,633.44/x
  3. Step 3: Cross multiply
    4,406.72x = 6,610.88 × 1,633.44
  4. Step 4: Simplify right side
    4,406.72x = 10,798,475.83
  5. Step 5: Solve for x
    x = 10,798,475.83/4,406.72
  6. Step 6: Final answer
    x = 2,450.46

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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.