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Finding the Fourth Proportional to 1,834, 2,530.92 and 1,006

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Solution

The fourth proportional to 1,834, 2,530.92 and 1,006 is: 1,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834 : 2,530.92 = 1,006 : x
  2. Step 2: Convert to fraction form
    1,834/2,530.92 = 1,006/x
  3. Step 3: Cross multiply
    1,834x = 2,530.92 × 1,006
  4. Step 4: Simplify right side
    1,834x = 2,546,105.52
  5. Step 5: Solve for x
    x = 2,546,105.52/1,834
  6. Step 6: Final answer
    x = 1,388.28

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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.