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Finding the Fourth Proportional to 2,713.80, 3,740.67 and 2,276.40

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Solution

The fourth proportional to 2,713.80, 3,740.67 and 2,276.40 is: 3,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.80 : 3,740.67 = 2,276.40 : x
  2. Step 2: Convert to fraction form
    2,713.80/3,740.67 = 2,276.40/x
  3. Step 3: Cross multiply
    2,713.80x = 3,740.67 × 2,276.40
  4. Step 4: Simplify right side
    2,713.80x = 8,515,261.19
  5. Step 5: Solve for x
    x = 8,515,261.19/2,713.80
  6. Step 6: Final answer
    x = 3,137.76

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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.