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Finding the Fourth Proportional to 1,787.73, 2,684.67 and 1,514.01

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Solution

The fourth proportional to 1,787.73, 2,684.67 and 1,514.01 is: 2,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.73 : 2,684.67 = 1,514.01 : x
  2. Step 2: Convert to fraction form
    1,787.73/2,684.67 = 1,514.01/x
  3. Step 3: Cross multiply
    1,787.73x = 2,684.67 × 1,514.01
  4. Step 4: Simplify right side
    1,787.73x = 4,064,617.23
  5. Step 5: Solve for x
    x = 4,064,617.23/1,787.73
  6. Step 6: Final answer
    x = 2,273.62

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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.