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Finding the Fourth Proportional to 2,507.76, 3,761.63 and 1,960.41

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Solution

The fourth proportional to 2,507.76, 3,761.63 and 1,960.41 is: 2,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.76 : 3,761.63 = 1,960.41 : x
  2. Step 2: Convert to fraction form
    2,507.76/3,761.63 = 1,960.41/x
  3. Step 3: Cross multiply
    2,507.76x = 3,761.63 × 1,960.41
  4. Step 4: Simplify right side
    2,507.76x = 7,374,320.51
  5. Step 5: Solve for x
    x = 7,374,320.51/2,507.76
  6. Step 6: Final answer
    x = 2,940.60

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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.