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Finding the Fourth Proportional to 1,828.92, 2,524.06 and 1,042.95

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Solution

The fourth proportional to 1,828.92, 2,524.06 and 1,042.95 is: 1,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.92 : 2,524.06 = 1,042.95 : x
  2. Step 2: Convert to fraction form
    1,828.92/2,524.06 = 1,042.95/x
  3. Step 3: Cross multiply
    1,828.92x = 2,524.06 × 1,042.95
  4. Step 4: Simplify right side
    1,828.92x = 2,632,468.38
  5. Step 5: Solve for x
    x = 2,632,468.38/1,828.92
  6. Step 6: Final answer
    x = 1,439.36

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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.