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Finding the Fourth Proportional to 3,071.94, 4,609.41 and 1,429.63

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Solution

The fourth proportional to 3,071.94, 4,609.41 and 1,429.63 is: 2,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.94 : 4,609.41 = 1,429.63 : x
  2. Step 2: Convert to fraction form
    3,071.94/4,609.41 = 1,429.63/x
  3. Step 3: Cross multiply
    3,071.94x = 4,609.41 × 1,429.63
  4. Step 4: Simplify right side
    3,071.94x = 6,589,733.93
  5. Step 5: Solve for x
    x = 6,589,733.93/3,071.94
  6. Step 6: Final answer
    x = 2,145.14

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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.