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Finding the Fourth Proportional to 1,887.18, 2,830.14 and 791.34

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Solution

The fourth proportional to 1,887.18, 2,830.14 and 791.34 is: 1,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.18 : 2,830.14 = 791.34 : x
  2. Step 2: Convert to fraction form
    1,887.18/2,830.14 = 791.34/x
  3. Step 3: Cross multiply
    1,887.18x = 2,830.14 × 791.34
  4. Step 4: Simplify right side
    1,887.18x = 2,239,602.99
  5. Step 5: Solve for x
    x = 2,239,602.99/1,887.18
  6. Step 6: Final answer
    x = 1,186.75

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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.