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Finding the Fourth Proportional to 1,817.16, 2,724.12 and 1,329.54

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Solution

The fourth proportional to 1,817.16, 2,724.12 and 1,329.54 is: 1,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.16 : 2,724.12 = 1,329.54 : x
  2. Step 2: Convert to fraction form
    1,817.16/2,724.12 = 1,329.54/x
  3. Step 3: Cross multiply
    1,817.16x = 2,724.12 × 1,329.54
  4. Step 4: Simplify right side
    1,817.16x = 3,621,826.50
  5. Step 5: Solve for x
    x = 3,621,826.50/1,817.16
  6. Step 6: Final answer
    x = 1,993.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.