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Finding the Fourth Proportional to 1,767.70, 2,651.78 and 1,027.66

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Solution

The fourth proportional to 1,767.70, 2,651.78 and 1,027.66 is: 1,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.70 : 2,651.78 = 1,027.66 : x
  2. Step 2: Convert to fraction form
    1,767.70/2,651.78 = 1,027.66/x
  3. Step 3: Cross multiply
    1,767.70x = 2,651.78 × 1,027.66
  4. Step 4: Simplify right side
    1,767.70x = 2,725,128.23
  5. Step 5: Solve for x
    x = 2,725,128.23/1,767.70
  6. Step 6: Final answer
    x = 1,541.62

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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.