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Finding the Fourth Proportional to 3,072.38, 4,610.14 and 1,316.92

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Solution

The fourth proportional to 3,072.38, 4,610.14 and 1,316.92 is: 1,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.38 : 4,610.14 = 1,316.92 : x
  2. Step 2: Convert to fraction form
    3,072.38/4,610.14 = 1,316.92/x
  3. Step 3: Cross multiply
    3,072.38x = 4,610.14 × 1,316.92
  4. Step 4: Simplify right side
    3,072.38x = 6,071,170.75
  5. Step 5: Solve for x
    x = 6,071,170.75/3,072.38
  6. Step 6: Final answer
    x = 1,976.05

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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.