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Finding the Fourth Proportional to 2,961.84, 4,439.92 and 1,318.60

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Solution

The fourth proportional to 2,961.84, 4,439.92 and 1,318.60 is: 1,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.84 : 4,439.92 = 1,318.60 : x
  2. Step 2: Convert to fraction form
    2,961.84/4,439.92 = 1,318.60/x
  3. Step 3: Cross multiply
    2,961.84x = 4,439.92 × 1,318.60
  4. Step 4: Simplify right side
    2,961.84x = 5,854,478.51
  5. Step 5: Solve for x
    x = 5,854,478.51/2,961.84
  6. Step 6: Final answer
    x = 1,976.64

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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.