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Finding the Fourth Proportional to 1,882.62, 2,822.58 and 583.38

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Solution

The fourth proportional to 1,882.62, 2,822.58 and 583.38 is: 874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.62 : 2,822.58 = 583.38 : x
  2. Step 2: Convert to fraction form
    1,882.62/2,822.58 = 583.38/x
  3. Step 3: Cross multiply
    1,882.62x = 2,822.58 × 583.38
  4. Step 4: Simplify right side
    1,882.62x = 1,646,636.72
  5. Step 5: Solve for x
    x = 1,646,636.72/1,882.62
  6. Step 6: Final answer
    x = 874.65

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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.