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Finding the Fourth Proportional to 4,182.92, 6,274.38 and 1,446.28

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Solution

The fourth proportional to 4,182.92, 6,274.38 and 1,446.28 is: 2,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.92 : 6,274.38 = 1,446.28 : x
  2. Step 2: Convert to fraction form
    4,182.92/6,274.38 = 1,446.28/x
  3. Step 3: Cross multiply
    4,182.92x = 6,274.38 × 1,446.28
  4. Step 4: Simplify right side
    4,182.92x = 9,074,510.31
  5. Step 5: Solve for x
    x = 9,074,510.31/4,182.92
  6. Step 6: Final answer
    x = 2,169.42

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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.