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Finding the Fourth Proportional to 1,882.25, 2,821.50 and 648.82

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Solution

The fourth proportional to 1,882.25, 2,821.50 and 648.82 is: 972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.25 : 2,821.50 = 648.82 : x
  2. Step 2: Convert to fraction form
    1,882.25/2,821.50 = 648.82/x
  3. Step 3: Cross multiply
    1,882.25x = 2,821.50 × 648.82
  4. Step 4: Simplify right side
    1,882.25x = 1,830,645.63
  5. Step 5: Solve for x
    x = 1,830,645.63/1,882.25
  6. Step 6: Final answer
    x = 972.58

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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.