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Finding the Fourth Proportional to 1,883.08, 2,824.94 and 584.56

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Solution

The fourth proportional to 1,883.08, 2,824.94 and 584.56 is: 876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.08 : 2,824.94 = 584.56 : x
  2. Step 2: Convert to fraction form
    1,883.08/2,824.94 = 584.56/x
  3. Step 3: Cross multiply
    1,883.08x = 2,824.94 × 584.56
  4. Step 4: Simplify right side
    1,883.08x = 1,651,346.93
  5. Step 5: Solve for x
    x = 1,651,346.93/1,883.08
  6. Step 6: Final answer
    x = 876.94

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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.