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Finding the Fourth Proportional to 3,071.94, 4,608.72 and 1,125.78

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Solution

The fourth proportional to 3,071.94, 4,608.72 and 1,125.78 is: 1,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.94 : 4,608.72 = 1,125.78 : x
  2. Step 2: Convert to fraction form
    3,071.94/4,608.72 = 1,125.78/x
  3. Step 3: Cross multiply
    3,071.94x = 4,608.72 × 1,125.78
  4. Step 4: Simplify right side
    3,071.94x = 5,188,404.80
  5. Step 5: Solve for x
    x = 5,188,404.80/3,071.94
  6. Step 6: Final answer
    x = 1,688.97

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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.