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Finding the Fourth Proportional to 1,791.47, 2,684.88 and 803.55

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Solution

The fourth proportional to 1,791.47, 2,684.88 and 803.55 is: 1,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.47 : 2,684.88 = 803.55 : x
  2. Step 2: Convert to fraction form
    1,791.47/2,684.88 = 803.55/x
  3. Step 3: Cross multiply
    1,791.47x = 2,684.88 × 803.55
  4. Step 4: Simplify right side
    1,791.47x = 2,157,435.32
  5. Step 5: Solve for x
    x = 2,157,435.32/1,791.47
  6. Step 6: Final answer
    x = 1,204.29

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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.