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Finding the Fourth Proportional to 1,883.16, 2,824.74 and 584.63

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Solution

The fourth proportional to 1,883.16, 2,824.74 and 584.63 is: 876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.16 : 2,824.74 = 584.63 : x
  2. Step 2: Convert to fraction form
    1,883.16/2,824.74 = 584.63/x
  3. Step 3: Cross multiply
    1,883.16x = 2,824.74 × 584.63
  4. Step 4: Simplify right side
    1,883.16x = 1,651,424.22
  5. Step 5: Solve for x
    x = 1,651,424.22/1,883.16
  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.