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Finding the Fourth Proportional to 4,604.54, 6,901.03 and 1,968.95

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Solution

The fourth proportional to 4,604.54, 6,901.03 and 1,968.95 is: 2,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.54 : 6,901.03 = 1,968.95 : x
  2. Step 2: Convert to fraction form
    4,604.54/6,901.03 = 1,968.95/x
  3. Step 3: Cross multiply
    4,604.54x = 6,901.03 × 1,968.95
  4. Step 4: Simplify right side
    4,604.54x = 13,587,760.84
  5. Step 5: Solve for x
    x = 13,587,760.84/4,604.54
  6. Step 6: Final answer
    x = 2,950.95

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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.