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Finding the Fourth Proportional to 1,652, 2,474.76 and 827.84

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Solution

The fourth proportional to 1,652, 2,474.76 and 827.84 is: 1,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652 : 2,474.76 = 827.84 : x
  2. Step 2: Convert to fraction form
    1,652/2,474.76 = 827.84/x
  3. Step 3: Cross multiply
    1,652x = 2,474.76 × 827.84
  4. Step 4: Simplify right side
    1,652x = 2,048,705.32
  5. Step 5: Solve for x
    x = 2,048,705.32/1,652
  6. Step 6: Final answer
    x = 1,240.14

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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.