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Finding the Fourth Proportional to 3,309.97, 4,965.79 and 1,461.60

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Solution

The fourth proportional to 3,309.97, 4,965.79 and 1,461.60 is: 2,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.97 : 4,965.79 = 1,461.60 : x
  2. Step 2: Convert to fraction form
    3,309.97/4,965.79 = 1,461.60/x
  3. Step 3: Cross multiply
    3,309.97x = 4,965.79 × 1,461.60
  4. Step 4: Simplify right side
    3,309.97x = 7,257,973.84
  5. Step 5: Solve for x
    x = 7,257,973.84/3,309.97
  6. Step 6: Final answer
    x = 2,192.76

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1.5x scale

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.