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Finding the Fourth Proportional to 2,071.51, 3,105.84 and 1,083.71

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Solution

The fourth proportional to 2,071.51, 3,105.84 and 1,083.71 is: 1,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.51 : 3,105.84 = 1,083.71 : x
  2. Step 2: Convert to fraction form
    2,071.51/3,105.84 = 1,083.71/x
  3. Step 3: Cross multiply
    2,071.51x = 3,105.84 × 1,083.71
  4. Step 4: Simplify right side
    2,071.51x = 3,365,829.87
  5. Step 5: Solve for x
    x = 3,365,829.87/2,071.51
  6. Step 6: Final answer
    x = 1,624.82

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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.