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Finding the Fourth Proportional to 3,071.92, 4,607.12 and 1,316.73

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Solution

The fourth proportional to 3,071.92, 4,607.12 and 1,316.73 is: 1,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.92 : 4,607.12 = 1,316.73 : x
  2. Step 2: Convert to fraction form
    3,071.92/4,607.12 = 1,316.73/x
  3. Step 3: Cross multiply
    3,071.92x = 4,607.12 × 1,316.73
  4. Step 4: Simplify right side
    3,071.92x = 6,066,316.66
  5. Step 5: Solve for x
    x = 6,066,316.66/3,071.92
  6. Step 6: Final answer
    x = 1,974.76

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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.