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Finding the Fourth Proportional to 3,071.16, 4,601.88 and 1,608.84

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Solution

The fourth proportional to 3,071.16, 4,601.88 and 1,608.84 is: 2,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.16 : 4,601.88 = 1,608.84 : x
  2. Step 2: Convert to fraction form
    3,071.16/4,601.88 = 1,608.84/x
  3. Step 3: Cross multiply
    3,071.16x = 4,601.88 × 1,608.84
  4. Step 4: Simplify right side
    3,071.16x = 7,403,688.62
  5. Step 5: Solve for x
    x = 7,403,688.62/3,071.16
  6. Step 6: Final answer
    x = 2,410.71

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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.