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Finding the Fourth Proportional to 1,830.48, 2,524.12 and 1,682.52

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Solution

The fourth proportional to 1,830.48, 2,524.12 and 1,682.52 is: 2,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.48 : 2,524.12 = 1,682.52 : x
  2. Step 2: Convert to fraction form
    1,830.48/2,524.12 = 1,682.52/x
  3. Step 3: Cross multiply
    1,830.48x = 2,524.12 × 1,682.52
  4. Step 4: Simplify right side
    1,830.48x = 4,246,882.38
  5. Step 5: Solve for x
    x = 4,246,882.38/1,830.48
  6. Step 6: Final answer
    x = 2,320.09

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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.