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Finding the Fourth Proportional to 3,171.29, 4,752.64 and 1,690.27

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Solution

The fourth proportional to 3,171.29, 4,752.64 and 1,690.27 is: 2,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.29 : 4,752.64 = 1,690.27 : x
  2. Step 2: Convert to fraction form
    3,171.29/4,752.64 = 1,690.27/x
  3. Step 3: Cross multiply
    3,171.29x = 4,752.64 × 1,690.27
  4. Step 4: Simplify right side
    3,171.29x = 8,033,235.04
  5. Step 5: Solve for x
    x = 8,033,235.04/3,171.29
  6. Step 6: Final answer
    x = 2,533.12

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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.