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Finding the Fourth Proportional to 3,384.94, 4,669.76 and 1,968.52

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Solution

The fourth proportional to 3,384.94, 4,669.76 and 1,968.52 is: 2,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.94 : 4,669.76 = 1,968.52 : x
  2. Step 2: Convert to fraction form
    3,384.94/4,669.76 = 1,968.52/x
  3. Step 3: Cross multiply
    3,384.94x = 4,669.76 × 1,968.52
  4. Step 4: Simplify right side
    3,384.94x = 9,192,515.96
  5. Step 5: Solve for x
    x = 9,192,515.96/3,384.94
  6. Step 6: Final answer
    x = 2,715.71

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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.