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Finding the Fourth Proportional to 1,812.67, 2,710.70 and 1,350.77

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Solution

The fourth proportional to 1,812.67, 2,710.70 and 1,350.77 is: 2,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.67 : 2,710.70 = 1,350.77 : x
  2. Step 2: Convert to fraction form
    1,812.67/2,710.70 = 1,350.77/x
  3. Step 3: Cross multiply
    1,812.67x = 2,710.70 × 1,350.77
  4. Step 4: Simplify right side
    1,812.67x = 3,661,511.93
  5. Step 5: Solve for x
    x = 3,661,511.93/1,812.67
  6. Step 6: Final answer
    x = 2,019.96

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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.