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Finding the Fourth Proportional to 1,882.26, 2,822.72 and 649.44

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Solution

The fourth proportional to 1,882.26, 2,822.72 and 649.44 is: 973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.26 : 2,822.72 = 649.44 : x
  2. Step 2: Convert to fraction form
    1,882.26/2,822.72 = 649.44/x
  3. Step 3: Cross multiply
    1,882.26x = 2,822.72 × 649.44
  4. Step 4: Simplify right side
    1,882.26x = 1,833,184.03
  5. Step 5: Solve for x
    x = 1,833,184.03/1,882.26
  6. Step 6: Final answer
    x = 973.93

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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.