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Finding the Fourth Proportional to 3,186.95, 4,780.65 and 1,336.21

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Solution

The fourth proportional to 3,186.95, 4,780.65 and 1,336.21 is: 2,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.95 : 4,780.65 = 1,336.21 : x
  2. Step 2: Convert to fraction form
    3,186.95/4,780.65 = 1,336.21/x
  3. Step 3: Cross multiply
    3,186.95x = 4,780.65 × 1,336.21
  4. Step 4: Simplify right side
    3,186.95x = 6,387,952.34
  5. Step 5: Solve for x
    x = 6,387,952.34/3,186.95
  6. Step 6: Final answer
    x = 2,004.41

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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.