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Finding the Fourth Proportional to 2,280.34, 3,414.43 and 1,551.34

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Solution

The fourth proportional to 2,280.34, 3,414.43 and 1,551.34 is: 2,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.34 : 3,414.43 = 1,551.34 : x
  2. Step 2: Convert to fraction form
    2,280.34/3,414.43 = 1,551.34/x
  3. Step 3: Cross multiply
    2,280.34x = 3,414.43 × 1,551.34
  4. Step 4: Simplify right side
    2,280.34x = 5,296,941.84
  5. Step 5: Solve for x
    x = 5,296,941.84/2,280.34
  6. Step 6: Final answer
    x = 2,322.87

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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.