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Finding the Fourth Proportional to 2,891.36, 4,328.84 and 2,377.44

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Solution

The fourth proportional to 2,891.36, 4,328.84 and 2,377.44 is: 3,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.36 : 4,328.84 = 2,377.44 : x
  2. Step 2: Convert to fraction form
    2,891.36/4,328.84 = 2,377.44/x
  3. Step 3: Cross multiply
    2,891.36x = 4,328.84 × 2,377.44
  4. Step 4: Simplify right side
    2,891.36x = 10,291,557.37
  5. Step 5: Solve for x
    x = 10,291,557.37/2,891.36
  6. Step 6: Final answer
    x = 3,559.42

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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.