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Finding the Fourth Proportional to 2,891.40, 4,329.72 and 1,591.44

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Solution

The fourth proportional to 2,891.40, 4,329.72 and 1,591.44 is: 2,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.40 : 4,329.72 = 1,591.44 : x
  2. Step 2: Convert to fraction form
    2,891.40/4,329.72 = 1,591.44/x
  3. Step 3: Cross multiply
    2,891.40x = 4,329.72 × 1,591.44
  4. Step 4: Simplify right side
    2,891.40x = 6,890,489.60
  5. Step 5: Solve for x
    x = 6,890,489.60/2,891.40
  6. Step 6: Final answer
    x = 2,383.10

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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.