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Finding the Fourth Proportional to 3,252.50, 4,488.47 and 1,760.44

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Solution

The fourth proportional to 3,252.50, 4,488.47 and 1,760.44 is: 2,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.50 : 4,488.47 = 1,760.44 : x
  2. Step 2: Convert to fraction form
    3,252.50/4,488.47 = 1,760.44/x
  3. Step 3: Cross multiply
    3,252.50x = 4,488.47 × 1,760.44
  4. Step 4: Simplify right side
    3,252.50x = 7,901,662.10
  5. Step 5: Solve for x
    x = 7,901,662.10/3,252.50
  6. Step 6: Final answer
    x = 2,429.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.