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Finding the Fourth Proportional to 1,812.11, 2,718.14 and 513.59

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Solution

The fourth proportional to 1,812.11, 2,718.14 and 513.59 is: 770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.11 : 2,718.14 = 513.59 : x
  2. Step 2: Convert to fraction form
    1,812.11/2,718.14 = 513.59/x
  3. Step 3: Cross multiply
    1,812.11x = 2,718.14 × 513.59
  4. Step 4: Simplify right side
    1,812.11x = 1,395,993.36
  5. Step 5: Solve for x
    x = 1,395,993.36/1,812.11
  6. Step 6: Final answer
    x = 770.37

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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.