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Finding the Fourth Proportional to 1,882.38, 2,824.02 and 583.82

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Solution

The fourth proportional to 1,882.38, 2,824.02 and 583.82 is: 875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.38 : 2,824.02 = 583.82 : x
  2. Step 2: Convert to fraction form
    1,882.38/2,824.02 = 583.82/x
  3. Step 3: Cross multiply
    1,882.38x = 2,824.02 × 583.82
  4. Step 4: Simplify right side
    1,882.38x = 1,648,719.36
  5. Step 5: Solve for x
    x = 1,648,719.36/1,882.38
  6. Step 6: Final answer
    x = 875.87

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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.