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Finding the Fourth Proportional to 2,735.47, 4,102.19 and 979.99

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Solution

The fourth proportional to 2,735.47, 4,102.19 and 979.99 is: 1,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.47 : 4,102.19 = 979.99 : x
  2. Step 2: Convert to fraction form
    2,735.47/4,102.19 = 979.99/x
  3. Step 3: Cross multiply
    2,735.47x = 4,102.19 × 979.99
  4. Step 4: Simplify right side
    2,735.47x = 4,020,079.77
  5. Step 5: Solve for x
    x = 4,020,079.77/2,735.47
  6. Step 6: Final answer
    x = 1,469.61

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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.