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Finding the Fourth Proportional to 2,818.82, 4,229.19 and 1,588.64

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Solution

The fourth proportional to 2,818.82, 4,229.19 and 1,588.64 is: 2,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.82 : 4,229.19 = 1,588.64 : x
  2. Step 2: Convert to fraction form
    2,818.82/4,229.19 = 1,588.64/x
  3. Step 3: Cross multiply
    2,818.82x = 4,229.19 × 1,588.64
  4. Step 4: Simplify right side
    2,818.82x = 6,718,660.40
  5. Step 5: Solve for x
    x = 6,718,660.40/2,818.82
  6. Step 6: Final answer
    x = 2,383.50

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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.