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Finding the Fourth Proportional to 1,822.84, 2,734.49 and 897.62

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Solution

The fourth proportional to 1,822.84, 2,734.49 and 897.62 is: 1,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.84 : 2,734.49 = 897.62 : x
  2. Step 2: Convert to fraction form
    1,822.84/2,734.49 = 897.62/x
  3. Step 3: Cross multiply
    1,822.84x = 2,734.49 × 897.62
  4. Step 4: Simplify right side
    1,822.84x = 2,454,532.91
  5. Step 5: Solve for x
    x = 2,454,532.91/1,822.84
  6. Step 6: Final answer
    x = 1,346.54

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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.