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Finding the Fourth Proportional to 2,761.68, 4,141.22 and 1,005.45

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Solution

The fourth proportional to 2,761.68, 4,141.22 and 1,005.45 is: 1,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.68 : 4,141.22 = 1,005.45 : x
  2. Step 2: Convert to fraction form
    2,761.68/4,141.22 = 1,005.45/x
  3. Step 3: Cross multiply
    2,761.68x = 4,141.22 × 1,005.45
  4. Step 4: Simplify right side
    2,761.68x = 4,163,784.62
  5. Step 5: Solve for x
    x = 4,163,784.62/2,761.68
  6. Step 6: Final answer
    x = 1,507.70

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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.