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Finding the Fourth Proportional to 1,881.48, 2,822.29 and 494.83

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Solution

The fourth proportional to 1,881.48, 2,822.29 and 494.83 is: 742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.48 : 2,822.29 = 494.83 : x
  2. Step 2: Convert to fraction form
    1,881.48/2,822.29 = 494.83/x
  3. Step 3: Cross multiply
    1,881.48x = 2,822.29 × 494.83
  4. Step 4: Simplify right side
    1,881.48x = 1,396,553.76
  5. Step 5: Solve for x
    x = 1,396,553.76/1,881.48
  6. Step 6: Final answer
    x = 742.26

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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.