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Finding the Fourth Proportional to 3,022.50, 4,171.07 and 1,764.42

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Solution

The fourth proportional to 3,022.50, 4,171.07 and 1,764.42 is: 2,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.50 : 4,171.07 = 1,764.42 : x
  2. Step 2: Convert to fraction form
    3,022.50/4,171.07 = 1,764.42/x
  3. Step 3: Cross multiply
    3,022.50x = 4,171.07 × 1,764.42
  4. Step 4: Simplify right side
    3,022.50x = 7,359,510.51
  5. Step 5: Solve for x
    x = 7,359,510.51/3,022.50
  6. Step 6: Final answer
    x = 2,434.91

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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.