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Finding the Fourth Proportional to 3,029.40, 4,541.22 and 1,728.36

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Solution

The fourth proportional to 3,029.40, 4,541.22 and 1,728.36 is: 2,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.40 : 4,541.22 = 1,728.36 : x
  2. Step 2: Convert to fraction form
    3,029.40/4,541.22 = 1,728.36/x
  3. Step 3: Cross multiply
    3,029.40x = 4,541.22 × 1,728.36
  4. Step 4: Simplify right side
    3,029.40x = 7,848,863.00
  5. Step 5: Solve for x
    x = 7,848,863.00/3,029.40
  6. Step 6: Final answer
    x = 2,590.90

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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.