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Finding the Fourth Proportional to 1,887.15, 2,830.20 and 791.28

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Solution

The fourth proportional to 1,887.15, 2,830.20 and 791.28 is: 1,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.15 : 2,830.20 = 791.28 : x
  2. Step 2: Convert to fraction form
    1,887.15/2,830.20 = 791.28/x
  3. Step 3: Cross multiply
    1,887.15x = 2,830.20 × 791.28
  4. Step 4: Simplify right side
    1,887.15x = 2,239,480.66
  5. Step 5: Solve for x
    x = 2,239,480.66/1,887.15
  6. Step 6: Final answer
    x = 1,186.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.