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Finding the Fourth Proportional to 3,640.40, 5,460.96 and 1,331.36

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Solution

The fourth proportional to 3,640.40, 5,460.96 and 1,331.36 is: 1,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.40 : 5,460.96 = 1,331.36 : x
  2. Step 2: Convert to fraction form
    3,640.40/5,460.96 = 1,331.36/x
  3. Step 3: Cross multiply
    3,640.40x = 5,460.96 × 1,331.36
  4. Step 4: Simplify right side
    3,640.40x = 7,270,503.71
  5. Step 5: Solve for x
    x = 7,270,503.71/3,640.40
  6. Step 6: Final answer
    x = 1,997.17

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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.