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Finding the Fourth Proportional to 2,274.60, 3,137.70 and 1,342.92

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Solution

The fourth proportional to 2,274.60, 3,137.70 and 1,342.92 is: 1,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.60 : 3,137.70 = 1,342.92 : x
  2. Step 2: Convert to fraction form
    2,274.60/3,137.70 = 1,342.92/x
  3. Step 3: Cross multiply
    2,274.60x = 3,137.70 × 1,342.92
  4. Step 4: Simplify right side
    2,274.60x = 4,213,680.08
  5. Step 5: Solve for x
    x = 4,213,680.08/2,274.60
  6. Step 6: Final answer
    x = 1,852.49

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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.