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Finding the Fourth Proportional to 4,782.72, 7,166.16 and 1,661.07

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Solution

The fourth proportional to 4,782.72, 7,166.16 and 1,661.07 is: 2,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.72 : 7,166.16 = 1,661.07 : x
  2. Step 2: Convert to fraction form
    4,782.72/7,166.16 = 1,661.07/x
  3. Step 3: Cross multiply
    4,782.72x = 7,166.16 × 1,661.07
  4. Step 4: Simplify right side
    4,782.72x = 11,903,493.39
  5. Step 5: Solve for x
    x = 11,903,493.39/4,782.72
  6. Step 6: Final answer
    x = 2,488.85

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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.