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Finding the Fourth Proportional to 2,509.94, 3,771.73 and 1,340.76

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Solution

The fourth proportional to 2,509.94, 3,771.73 and 1,340.76 is: 2,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.94 : 3,771.73 = 1,340.76 : x
  2. Step 2: Convert to fraction form
    2,509.94/3,771.73 = 1,340.76/x
  3. Step 3: Cross multiply
    2,509.94x = 3,771.73 × 1,340.76
  4. Step 4: Simplify right side
    2,509.94x = 5,056,981.36
  5. Step 5: Solve for x
    x = 5,056,981.36/2,509.94
  6. Step 6: Final answer
    x = 2,014.78

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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.