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Finding the Fourth Proportional to 2,972.44, 4,102.03 and 1,628.11

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Solution

The fourth proportional to 2,972.44, 4,102.03 and 1,628.11 is: 2,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.44 : 4,102.03 = 1,628.11 : x
  2. Step 2: Convert to fraction form
    2,972.44/4,102.03 = 1,628.11/x
  3. Step 3: Cross multiply
    2,972.44x = 4,102.03 × 1,628.11
  4. Step 4: Simplify right side
    2,972.44x = 6,678,535.55
  5. Step 5: Solve for x
    x = 6,678,535.55/2,972.44
  6. Step 6: Final answer
    x = 2,246.82

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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.