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Finding the Fourth Proportional to 2,171.54, 2,994.75 and 1,425.21

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Solution

The fourth proportional to 2,171.54, 2,994.75 and 1,425.21 is: 1,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.54 : 2,994.75 = 1,425.21 : x
  2. Step 2: Convert to fraction form
    2,171.54/2,994.75 = 1,425.21/x
  3. Step 3: Cross multiply
    2,171.54x = 2,994.75 × 1,425.21
  4. Step 4: Simplify right side
    2,171.54x = 4,268,147.65
  5. Step 5: Solve for x
    x = 4,268,147.65/2,171.54
  6. Step 6: Final answer
    x = 1,965.50

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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.