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Finding the Fourth Proportional to 2,817.28, 4,226.02 and 1,085.50

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Solution

The fourth proportional to 2,817.28, 4,226.02 and 1,085.50 is: 1,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.28 : 4,226.02 = 1,085.50 : x
  2. Step 2: Convert to fraction form
    2,817.28/4,226.02 = 1,085.50/x
  3. Step 3: Cross multiply
    2,817.28x = 4,226.02 × 1,085.50
  4. Step 4: Simplify right side
    2,817.28x = 4,587,344.71
  5. Step 5: Solve for x
    x = 4,587,344.71/2,817.28
  6. Step 6: Final answer
    x = 1,628.29

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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.