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Finding the Fourth Proportional to 1,761.73, 2,643.47 and 787.57

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Solution

The fourth proportional to 1,761.73, 2,643.47 and 787.57 is: 1,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.73 : 2,643.47 = 787.57 : x
  2. Step 2: Convert to fraction form
    1,761.73/2,643.47 = 787.57/x
  3. Step 3: Cross multiply
    1,761.73x = 2,643.47 × 787.57
  4. Step 4: Simplify right side
    1,761.73x = 2,081,917.67
  5. Step 5: Solve for x
    x = 2,081,917.67/1,761.73
  6. Step 6: Final answer
    x = 1,181.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.