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Finding the Fourth Proportional to 1,881.79, 2,822.69 and 495.14

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Solution

The fourth proportional to 1,881.79, 2,822.69 and 495.14 is: 742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.79 : 2,822.69 = 495.14 : x
  2. Step 2: Convert to fraction form
    1,881.79/2,822.69 = 495.14/x
  3. Step 3: Cross multiply
    1,881.79x = 2,822.69 × 495.14
  4. Step 4: Simplify right side
    1,881.79x = 1,397,613.85
  5. Step 5: Solve for x
    x = 1,397,613.85/1,881.79
  6. Step 6: Final answer
    x = 742.71

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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.