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Finding the Fourth Proportional to 3,284.28, 4,923.92 and 1,642.01

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Solution

The fourth proportional to 3,284.28, 4,923.92 and 1,642.01 is: 2,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.28 : 4,923.92 = 1,642.01 : x
  2. Step 2: Convert to fraction form
    3,284.28/4,923.92 = 1,642.01/x
  3. Step 3: Cross multiply
    3,284.28x = 4,923.92 × 1,642.01
  4. Step 4: Simplify right side
    3,284.28x = 8,085,125.88
  5. Step 5: Solve for x
    x = 8,085,125.88/3,284.28
  6. Step 6: Final answer
    x = 2,461.77

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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.