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Finding the Fourth Proportional to 2,961.64, 4,442.88 and 1,318.15

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Solution

The fourth proportional to 2,961.64, 4,442.88 and 1,318.15 is: 1,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.64 : 4,442.88 = 1,318.15 : x
  2. Step 2: Convert to fraction form
    2,961.64/4,442.88 = 1,318.15/x
  3. Step 3: Cross multiply
    2,961.64x = 4,442.88 × 1,318.15
  4. Step 4: Simplify right side
    2,961.64x = 5,856,382.27
  5. Step 5: Solve for x
    x = 5,856,382.27/2,961.64
  6. Step 6: Final answer
    x = 1,977.41

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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.