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Finding the Fourth Proportional to 2,891.65, 4,331.40 and 2,405.65

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Solution

The fourth proportional to 2,891.65, 4,331.40 and 2,405.65 is: 3,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.65 : 4,331.40 = 2,405.65 : x
  2. Step 2: Convert to fraction form
    2,891.65/4,331.40 = 2,405.65/x
  3. Step 3: Cross multiply
    2,891.65x = 4,331.40 × 2,405.65
  4. Step 4: Simplify right side
    2,891.65x = 10,419,832.41
  5. Step 5: Solve for x
    x = 10,419,832.41/2,891.65
  6. Step 6: Final answer
    x = 3,603.42

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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.