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Finding the Fourth Proportional to 4,298.67, 6,446.79 and 1,178.80

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Solution

The fourth proportional to 4,298.67, 6,446.79 and 1,178.80 is: 1,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.67 : 6,446.79 = 1,178.80 : x
  2. Step 2: Convert to fraction form
    4,298.67/6,446.79 = 1,178.80/x
  3. Step 3: Cross multiply
    4,298.67x = 6,446.79 × 1,178.80
  4. Step 4: Simplify right side
    4,298.67x = 7,599,459.94
  5. Step 5: Solve for x
    x = 7,599,459.94/4,298.67
  6. Step 6: Final answer
    x = 1,767.86

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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.