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Finding the Fourth Proportional to 2,980.88, 4,467.16 and 2,539.84

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Solution

The fourth proportional to 2,980.88, 4,467.16 and 2,539.84 is: 3,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.88 : 4,467.16 = 2,539.84 : x
  2. Step 2: Convert to fraction form
    2,980.88/4,467.16 = 2,539.84/x
  3. Step 3: Cross multiply
    2,980.88x = 4,467.16 × 2,539.84
  4. Step 4: Simplify right side
    2,980.88x = 11,345,871.65
  5. Step 5: Solve for x
    x = 11,345,871.65/2,980.88
  6. Step 6: Final answer
    x = 3,806.22

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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.