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Finding the Fourth Proportional to 4,678.46, 7,016.94 and 1,560.64

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Solution

The fourth proportional to 4,678.46, 7,016.94 and 1,560.64 is: 2,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.46 : 7,016.94 = 1,560.64 : x
  2. Step 2: Convert to fraction form
    4,678.46/7,016.94 = 1,560.64/x
  3. Step 3: Cross multiply
    4,678.46x = 7,016.94 × 1,560.64
  4. Step 4: Simplify right side
    4,678.46x = 10,950,917.24
  5. Step 5: Solve for x
    x = 10,950,917.24/4,678.46
  6. Step 6: Final answer
    x = 2,340.71

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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.