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Finding the Fourth Proportional to 1,882.12, 2,823.66 and 583.60

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Solution

The fourth proportional to 1,882.12, 2,823.66 and 583.60 is: 875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.12 : 2,823.66 = 583.60 : x
  2. Step 2: Convert to fraction form
    1,882.12/2,823.66 = 583.60/x
  3. Step 3: Cross multiply
    1,882.12x = 2,823.66 × 583.60
  4. Step 4: Simplify right side
    1,882.12x = 1,647,887.98
  5. Step 5: Solve for x
    x = 1,647,887.98/1,882.12
  6. Step 6: Final answer
    x = 875.55

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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.