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Finding the Fourth Proportional to 2,029.06, 3,044.40 and 874

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Solution

The fourth proportional to 2,029.06, 3,044.40 and 874 is: 1,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.06 : 3,044.40 = 874 : x
  2. Step 2: Convert to fraction form
    2,029.06/3,044.40 = 874/x
  3. Step 3: Cross multiply
    2,029.06x = 3,044.40 × 874
  4. Step 4: Simplify right side
    2,029.06x = 2,660,805.60
  5. Step 5: Solve for x
    x = 2,660,805.60/2,029.06
  6. Step 6: Final answer
    x = 1,311.35

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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.