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Finding the Fourth Proportional to 1,822.25, 2,733.73 and 652.34

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Solution

The fourth proportional to 1,822.25, 2,733.73 and 652.34 is: 978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.25 : 2,733.73 = 652.34 : x
  2. Step 2: Convert to fraction form
    1,822.25/2,733.73 = 652.34/x
  3. Step 3: Cross multiply
    1,822.25x = 2,733.73 × 652.34
  4. Step 4: Simplify right side
    1,822.25x = 1,783,321.43
  5. Step 5: Solve for x
    x = 1,783,321.43/1,822.25
  6. Step 6: Final answer
    x = 978.64

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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.