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Finding the Fourth Proportional to 4,471.05, 6,705.82 and 1,184.48

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Solution

The fourth proportional to 4,471.05, 6,705.82 and 1,184.48 is: 1,776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.05 : 6,705.82 = 1,184.48 : x
  2. Step 2: Convert to fraction form
    4,471.05/6,705.82 = 1,184.48/x
  3. Step 3: Cross multiply
    4,471.05x = 6,705.82 × 1,184.48
  4. Step 4: Simplify right side
    4,471.05x = 7,942,870.22
  5. Step 5: Solve for x
    x = 7,942,870.22/4,471.05
  6. Step 6: Final answer
    x = 1,776.51

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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.