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Finding the Fourth Proportional to 3,302.80, 4,951.09 and 1,109.99

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Solution

The fourth proportional to 3,302.80, 4,951.09 and 1,109.99 is: 1,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.80 : 4,951.09 = 1,109.99 : x
  2. Step 2: Convert to fraction form
    3,302.80/4,951.09 = 1,109.99/x
  3. Step 3: Cross multiply
    3,302.80x = 4,951.09 × 1,109.99
  4. Step 4: Simplify right side
    3,302.80x = 5,495,660.39
  5. Step 5: Solve for x
    x = 5,495,660.39/3,302.80
  6. Step 6: Final answer
    x = 1,663.94

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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.