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Finding the Fourth Proportional to 2,980.82, 4,471.34 and 2,545.25

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Solution

The fourth proportional to 2,980.82, 4,471.34 and 2,545.25 is: 3,817.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.82 : 4,471.34 = 2,545.25 : x
  2. Step 2: Convert to fraction form
    2,980.82/4,471.34 = 2,545.25/x
  3. Step 3: Cross multiply
    2,980.82x = 4,471.34 × 2,545.25
  4. Step 4: Simplify right side
    2,980.82x = 11,380,643.05
  5. Step 5: Solve for x
    x = 11,380,643.05/2,980.82
  6. Step 6: Final answer
    x = 3,817.95

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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.