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Finding the Fourth Proportional to 3,023.40, 4,171.88 and 1,764.88

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Solution

The fourth proportional to 3,023.40, 4,171.88 and 1,764.88 is: 2,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.40 : 4,171.88 = 1,764.88 : x
  2. Step 2: Convert to fraction form
    3,023.40/4,171.88 = 1,764.88/x
  3. Step 3: Cross multiply
    3,023.40x = 4,171.88 × 1,764.88
  4. Step 4: Simplify right side
    3,023.40x = 7,362,867.57
  5. Step 5: Solve for x
    x = 7,362,867.57/3,023.40
  6. Step 6: Final answer
    x = 2,435.29

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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.