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Finding the Fourth Proportional to 1,288.02, 1,778.49 and 1,189.74

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Solution

The fourth proportional to 1,288.02, 1,778.49 and 1,189.74 is: 1,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.02 : 1,778.49 = 1,189.74 : x
  2. Step 2: Convert to fraction form
    1,288.02/1,778.49 = 1,189.74/x
  3. Step 3: Cross multiply
    1,288.02x = 1,778.49 × 1,189.74
  4. Step 4: Simplify right side
    1,288.02x = 2,115,940.69
  5. Step 5: Solve for x
    x = 2,115,940.69/1,288.02
  6. Step 6: Final answer
    x = 1,642.79

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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.