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Finding the Fourth Proportional to 1,883.62, 2,824.08 and 584.38

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Solution

The fourth proportional to 1,883.62, 2,824.08 and 584.38 is: 876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.62 : 2,824.08 = 584.38 : x
  2. Step 2: Convert to fraction form
    1,883.62/2,824.08 = 584.38/x
  3. Step 3: Cross multiply
    1,883.62x = 2,824.08 × 584.38
  4. Step 4: Simplify right side
    1,883.62x = 1,650,335.87
  5. Step 5: Solve for x
    x = 1,650,335.87/1,883.62
  6. Step 6: Final answer
    x = 876.15

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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.