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Finding the Fourth Proportional to 2,684.51, 4,024.02 and 2,448.04

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Solution

The fourth proportional to 2,684.51, 4,024.02 and 2,448.04 is: 3,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.51 : 4,024.02 = 2,448.04 : x
  2. Step 2: Convert to fraction form
    2,684.51/4,024.02 = 2,448.04/x
  3. Step 3: Cross multiply
    2,684.51x = 4,024.02 × 2,448.04
  4. Step 4: Simplify right side
    2,684.51x = 9,850,961.92
  5. Step 5: Solve for x
    x = 9,850,961.92/2,684.51
  6. Step 6: Final answer
    x = 3,669.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.