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Finding the Fourth Proportional to 3,071.69, 4,608.44 and 1,429.61

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Solution

The fourth proportional to 3,071.69, 4,608.44 and 1,429.61 is: 2,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.69 : 4,608.44 = 1,429.61 : x
  2. Step 2: Convert to fraction form
    3,071.69/4,608.44 = 1,429.61/x
  3. Step 3: Cross multiply
    3,071.69x = 4,608.44 × 1,429.61
  4. Step 4: Simplify right side
    3,071.69x = 6,588,287.00
  5. Step 5: Solve for x
    x = 6,588,287.00/3,071.69
  6. Step 6: Final answer
    x = 2,144.84

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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.