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Finding the Fourth Proportional to 4,107.40, 6,160.96 and 1,186.00

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Solution

The fourth proportional to 4,107.40, 6,160.96 and 1,186.00 is: 1,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.40 : 6,160.96 = 1,186.00 : x
  2. Step 2: Convert to fraction form
    4,107.40/6,160.96 = 1,186.00/x
  3. Step 3: Cross multiply
    4,107.40x = 6,160.96 × 1,186.00
  4. Step 4: Simplify right side
    4,107.40x = 7,306,861.83
  5. Step 5: Solve for x
    x = 7,306,861.83/4,107.40
  6. Step 6: Final answer
    x = 1,778.95

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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.