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Finding the Fourth Proportional to 2,639.36, 3,640.98 and 2,451.76

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Solution

The fourth proportional to 2,639.36, 3,640.98 and 2,451.76 is: 3,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.36 : 3,640.98 = 2,451.76 : x
  2. Step 2: Convert to fraction form
    2,639.36/3,640.98 = 2,451.76/x
  3. Step 3: Cross multiply
    2,639.36x = 3,640.98 × 2,451.76
  4. Step 4: Simplify right side
    2,639.36x = 8,926,809.12
  5. Step 5: Solve for x
    x = 8,926,809.12/2,639.36
  6. Step 6: Final answer
    x = 3,382.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.