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Finding the Fourth Proportional to 2,274.63, 3,138.87 and 1,280.07

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Solution

The fourth proportional to 2,274.63, 3,138.87 and 1,280.07 is: 1,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.63 : 3,138.87 = 1,280.07 : x
  2. Step 2: Convert to fraction form
    2,274.63/3,138.87 = 1,280.07/x
  3. Step 3: Cross multiply
    2,274.63x = 3,138.87 × 1,280.07
  4. Step 4: Simplify right side
    2,274.63x = 4,017,973.32
  5. Step 5: Solve for x
    x = 4,017,973.32/2,274.63
  6. Step 6: Final answer
    x = 1,766.43

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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.