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Finding the Fourth Proportional to 1,829, 2,524.02 and 1,043.10

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Solution

The fourth proportional to 1,829, 2,524.02 and 1,043.10 is: 1,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829 : 2,524.02 = 1,043.10 : x
  2. Step 2: Convert to fraction form
    1,829/2,524.02 = 1,043.10/x
  3. Step 3: Cross multiply
    1,829x = 2,524.02 × 1,043.10
  4. Step 4: Simplify right side
    1,829x = 2,632,805.26
  5. Step 5: Solve for x
    x = 2,632,805.26/1,829
  6. Step 6: Final answer
    x = 1,439.48

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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.