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Finding the Fourth Proportional to 2,029.04, 3,043.88 and 731.44

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Solution

The fourth proportional to 2,029.04, 3,043.88 and 731.44 is: 1,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.04 : 3,043.88 = 731.44 : x
  2. Step 2: Convert to fraction form
    2,029.04/3,043.88 = 731.44/x
  3. Step 3: Cross multiply
    2,029.04x = 3,043.88 × 731.44
  4. Step 4: Simplify right side
    2,029.04x = 2,226,415.59
  5. Step 5: Solve for x
    x = 2,226,415.59/2,029.04
  6. Step 6: Final answer
    x = 1,097.28

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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.