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Finding the Fourth Proportional to 2,961.40, 4,415.24 and 2,884.46

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Solution

The fourth proportional to 2,961.40, 4,415.24 and 2,884.46 is: 4,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.40 : 4,415.24 = 2,884.46 : x
  2. Step 2: Convert to fraction form
    2,961.40/4,415.24 = 2,884.46/x
  3. Step 3: Cross multiply
    2,961.40x = 4,415.24 × 2,884.46
  4. Step 4: Simplify right side
    2,961.40x = 12,735,583.17
  5. Step 5: Solve for x
    x = 12,735,583.17/2,961.40
  6. Step 6: Final answer
    x = 4,300.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.