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Finding the Fourth Proportional to 1,822.87, 2,734.49 and 524.53

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Solution

The fourth proportional to 1,822.87, 2,734.49 and 524.53 is: 786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.87 : 2,734.49 = 524.53 : x
  2. Step 2: Convert to fraction form
    1,822.87/2,734.49 = 524.53/x
  3. Step 3: Cross multiply
    1,822.87x = 2,734.49 × 524.53
  4. Step 4: Simplify right side
    1,822.87x = 1,434,322.04
  5. Step 5: Solve for x
    x = 1,434,322.04/1,822.87
  6. Step 6: Final answer
    x = 786.85

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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.