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Finding the Fourth Proportional to 1,881.33, 2,822.13 and 582.63

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Solution

The fourth proportional to 1,881.33, 2,822.13 and 582.63 is: 873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.33 : 2,822.13 = 582.63 : x
  2. Step 2: Convert to fraction form
    1,881.33/2,822.13 = 582.63/x
  3. Step 3: Cross multiply
    1,881.33x = 2,822.13 × 582.63
  4. Step 4: Simplify right side
    1,881.33x = 1,644,257.60
  5. Step 5: Solve for x
    x = 1,644,257.60/1,881.33
  6. Step 6: Final answer
    x = 873.99

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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.