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Finding the Fourth Proportional to 2,409.75, 3,325.59 and 1,414.80

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Solution

The fourth proportional to 2,409.75, 3,325.59 and 1,414.80 is: 1,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.75 : 3,325.59 = 1,414.80 : x
  2. Step 2: Convert to fraction form
    2,409.75/3,325.59 = 1,414.80/x
  3. Step 3: Cross multiply
    2,409.75x = 3,325.59 × 1,414.80
  4. Step 4: Simplify right side
    2,409.75x = 4,705,044.73
  5. Step 5: Solve for x
    x = 4,705,044.73/2,409.75
  6. Step 6: Final answer
    x = 1,952.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.