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Finding the Fourth Proportional to 1,822.53, 2,733.91 and 523.97

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Solution

The fourth proportional to 1,822.53, 2,733.91 and 523.97 is: 785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.53 : 2,733.91 = 523.97 : x
  2. Step 2: Convert to fraction form
    1,822.53/2,733.91 = 523.97/x
  3. Step 3: Cross multiply
    1,822.53x = 2,733.91 × 523.97
  4. Step 4: Simplify right side
    1,822.53x = 1,432,482.10
  5. Step 5: Solve for x
    x = 1,432,482.10/1,822.53
  6. Step 6: Final answer
    x = 785.98

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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.