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Finding the Fourth Proportional to 3,071.04, 4,606.92 and 1,772.88

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Solution

The fourth proportional to 3,071.04, 4,606.92 and 1,772.88 is: 2,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.04 : 4,606.92 = 1,772.88 : x
  2. Step 2: Convert to fraction form
    3,071.04/4,606.92 = 1,772.88/x
  3. Step 3: Cross multiply
    3,071.04x = 4,606.92 × 1,772.88
  4. Step 4: Simplify right side
    3,071.04x = 8,167,516.33
  5. Step 5: Solve for x
    x = 8,167,516.33/3,071.04
  6. Step 6: Final answer
    x = 2,659.53

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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.