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Finding the Fourth Proportional to 2,029.40, 3,043.38 and 874.52

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Solution

The fourth proportional to 2,029.40, 3,043.38 and 874.52 is: 1,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.40 : 3,043.38 = 874.52 : x
  2. Step 2: Convert to fraction form
    2,029.40/3,043.38 = 874.52/x
  3. Step 3: Cross multiply
    2,029.40x = 3,043.38 × 874.52
  4. Step 4: Simplify right side
    2,029.40x = 2,661,496.68
  5. Step 5: Solve for x
    x = 2,661,496.68/2,029.40
  6. Step 6: Final answer
    x = 1,311.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.