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Finding the Fourth Proportional to 3,265.92, 4,896.45 and 1,416.69

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Solution

The fourth proportional to 3,265.92, 4,896.45 and 1,416.69 is: 2,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.92 : 4,896.45 = 1,416.69 : x
  2. Step 2: Convert to fraction form
    3,265.92/4,896.45 = 1,416.69/x
  3. Step 3: Cross multiply
    3,265.92x = 4,896.45 × 1,416.69
  4. Step 4: Simplify right side
    3,265.92x = 6,936,751.75
  5. Step 5: Solve for x
    x = 6,936,751.75/3,265.92
  6. Step 6: Final answer
    x = 2,123.98

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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.