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Finding the Fourth Proportional to 3,182.02, 4,768.71 and 1,644.10

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Solution

The fourth proportional to 3,182.02, 4,768.71 and 1,644.10 is: 2,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.02 : 4,768.71 = 1,644.10 : x
  2. Step 2: Convert to fraction form
    3,182.02/4,768.71 = 1,644.10/x
  3. Step 3: Cross multiply
    3,182.02x = 4,768.71 × 1,644.10
  4. Step 4: Simplify right side
    3,182.02x = 7,840,236.11
  5. Step 5: Solve for x
    x = 7,840,236.11/3,182.02
  6. Step 6: Final answer
    x = 2,463.92

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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.