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Finding the Fourth Proportional to 1,882, 2,823.26 and 583.57

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Solution

The fourth proportional to 1,882, 2,823.26 and 583.57 is: 875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882 : 2,823.26 = 583.57 : x
  2. Step 2: Convert to fraction form
    1,882/2,823.26 = 583.57/x
  3. Step 3: Cross multiply
    1,882x = 2,823.26 × 583.57
  4. Step 4: Simplify right side
    1,882x = 1,647,569.84
  5. Step 5: Solve for x
    x = 1,647,569.84/1,882
  6. Step 6: Final answer
    x = 875.44

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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.