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Finding the Fourth Proportional to 1,761.55, 2,643.23 and 787.42

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Solution

The fourth proportional to 1,761.55, 2,643.23 and 787.42 is: 1,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.55 : 2,643.23 = 787.42 : x
  2. Step 2: Convert to fraction form
    1,761.55/2,643.23 = 787.42/x
  3. Step 3: Cross multiply
    1,761.55x = 2,643.23 × 787.42
  4. Step 4: Simplify right side
    1,761.55x = 2,081,337.44
  5. Step 5: Solve for x
    x = 2,081,337.44/1,761.55
  6. Step 6: Final answer
    x = 1,181.54

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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.