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Finding the Fourth Proportional to 1,760.74, 2,641.11 and 787.52

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Solution

The fourth proportional to 1,760.74, 2,641.11 and 787.52 is: 1,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.74 : 2,641.11 = 787.52 : x
  2. Step 2: Convert to fraction form
    1,760.74/2,641.11 = 787.52/x
  3. Step 3: Cross multiply
    1,760.74x = 2,641.11 × 787.52
  4. Step 4: Simplify right side
    1,760.74x = 2,079,926.95
  5. Step 5: Solve for x
    x = 2,079,926.95/1,760.74
  6. Step 6: Final answer
    x = 1,181.28

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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.