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Finding the Fourth Proportional to 1,340.54, 2,008.05 and 1,186.86

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Solution

The fourth proportional to 1,340.54, 2,008.05 and 1,186.86 is: 1,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.54 : 2,008.05 = 1,186.86 : x
  2. Step 2: Convert to fraction form
    1,340.54/2,008.05 = 1,186.86/x
  3. Step 3: Cross multiply
    1,340.54x = 2,008.05 × 1,186.86
  4. Step 4: Simplify right side
    1,340.54x = 2,383,274.22
  5. Step 5: Solve for x
    x = 2,383,274.22/1,340.54
  6. Step 6: Final answer
    x = 1,777.85

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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.