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Finding the Fourth Proportional to 1,881.73, 2,822.82 and 649.01

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Solution

The fourth proportional to 1,881.73, 2,822.82 and 649.01 is: 973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.73 : 2,822.82 = 649.01 : x
  2. Step 2: Convert to fraction form
    1,881.73/2,822.82 = 649.01/x
  3. Step 3: Cross multiply
    1,881.73x = 2,822.82 × 649.01
  4. Step 4: Simplify right side
    1,881.73x = 1,832,043.03
  5. Step 5: Solve for x
    x = 1,832,043.03/1,881.73
  6. Step 6: Final answer
    x = 973.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.