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Finding the Fourth Proportional to 3,461.81, 4,775.93 and 2,133.20

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Solution

The fourth proportional to 3,461.81, 4,775.93 and 2,133.20 is: 2,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.81 : 4,775.93 = 2,133.20 : x
  2. Step 2: Convert to fraction form
    3,461.81/4,775.93 = 2,133.20/x
  3. Step 3: Cross multiply
    3,461.81x = 4,775.93 × 2,133.20
  4. Step 4: Simplify right side
    3,461.81x = 10,187,979.33
  5. Step 5: Solve for x
    x = 10,187,979.33/3,461.81
  6. Step 6: Final answer
    x = 2,942.97

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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.