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Finding the Fourth Proportional to 1,581.68, 2,182.55 and 873.47

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Solution

The fourth proportional to 1,581.68, 2,182.55 and 873.47 is: 1,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.68 : 2,182.55 = 873.47 : x
  2. Step 2: Convert to fraction form
    1,581.68/2,182.55 = 873.47/x
  3. Step 3: Cross multiply
    1,581.68x = 2,182.55 × 873.47
  4. Step 4: Simplify right side
    1,581.68x = 1,906,391.95
  5. Step 5: Solve for x
    x = 1,906,391.95/1,581.68
  6. Step 6: Final answer
    x = 1,205.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.