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Finding the Fourth Proportional to 2,641.84, 3,968.52 and 1,616.56

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Solution

The fourth proportional to 2,641.84, 3,968.52 and 1,616.56 is: 2,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.84 : 3,968.52 = 1,616.56 : x
  2. Step 2: Convert to fraction form
    2,641.84/3,968.52 = 1,616.56/x
  3. Step 3: Cross multiply
    2,641.84x = 3,968.52 × 1,616.56
  4. Step 4: Simplify right side
    2,641.84x = 6,415,350.69
  5. Step 5: Solve for x
    x = 6,415,350.69/2,641.84
  6. Step 6: Final answer
    x = 2,428.36

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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.