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Finding the Fourth Proportional to 1,827.80, 2,739.52 and 787.48

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Solution

The fourth proportional to 1,827.80, 2,739.52 and 787.48 is: 1,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.80 : 2,739.52 = 787.48 : x
  2. Step 2: Convert to fraction form
    1,827.80/2,739.52 = 787.48/x
  3. Step 3: Cross multiply
    1,827.80x = 2,739.52 × 787.48
  4. Step 4: Simplify right side
    1,827.80x = 2,157,317.21
  5. Step 5: Solve for x
    x = 2,157,317.21/1,827.80
  6. Step 6: Final answer
    x = 1,180.28

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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.