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Finding the Fourth Proportional to 1,887.76, 2,604.86 and 1,189

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Solution

The fourth proportional to 1,887.76, 2,604.86 and 1,189 is: 1,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.76 : 2,604.86 = 1,189 : x
  2. Step 2: Convert to fraction form
    1,887.76/2,604.86 = 1,189/x
  3. Step 3: Cross multiply
    1,887.76x = 2,604.86 × 1,189
  4. Step 4: Simplify right side
    1,887.76x = 3,097,178.54
  5. Step 5: Solve for x
    x = 3,097,178.54/1,887.76
  6. Step 6: Final answer
    x = 1,640.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.