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Finding the Fourth Proportional to 1,827.09, 2,739.78 and 787.05

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Solution

The fourth proportional to 1,827.09, 2,739.78 and 787.05 is: 1,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.09 : 2,739.78 = 787.05 : x
  2. Step 2: Convert to fraction form
    1,827.09/2,739.78 = 787.05/x
  3. Step 3: Cross multiply
    1,827.09x = 2,739.78 × 787.05
  4. Step 4: Simplify right side
    1,827.09x = 2,156,343.85
  5. Step 5: Solve for x
    x = 2,156,343.85/1,827.09
  6. Step 6: Final answer
    x = 1,180.21

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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.