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Finding the Fourth Proportional to 2,274.94, 3,138.63 and 1,378.95

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Solution

The fourth proportional to 2,274.94, 3,138.63 and 1,378.95 is: 1,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.94 : 3,138.63 = 1,378.95 : x
  2. Step 2: Convert to fraction form
    2,274.94/3,138.63 = 1,378.95/x
  3. Step 3: Cross multiply
    2,274.94x = 3,138.63 × 1,378.95
  4. Step 4: Simplify right side
    2,274.94x = 4,328,013.84
  5. Step 5: Solve for x
    x = 4,328,013.84/2,274.94
  6. Step 6: Final answer
    x = 1,902.47

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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.