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Finding the Fourth Proportional to 1,822.20, 2,731.68 and 726

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Solution

The fourth proportional to 1,822.20, 2,731.68 and 726 is: 1,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.20 : 2,731.68 = 726 : x
  2. Step 2: Convert to fraction form
    1,822.20/2,731.68 = 726/x
  3. Step 3: Cross multiply
    1,822.20x = 2,731.68 × 726
  4. Step 4: Simplify right side
    1,822.20x = 1,983,199.68
  5. Step 5: Solve for x
    x = 1,983,199.68/1,822.20
  6. Step 6: Final answer
    x = 1,088.35

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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.