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Finding the Fourth Proportional to 2,664.80, 3,676.02 and 1,616.68

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Solution

The fourth proportional to 2,664.80, 3,676.02 and 1,616.68 is: 2,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.80 : 3,676.02 = 1,616.68 : x
  2. Step 2: Convert to fraction form
    2,664.80/3,676.02 = 1,616.68/x
  3. Step 3: Cross multiply
    2,664.80x = 3,676.02 × 1,616.68
  4. Step 4: Simplify right side
    2,664.80x = 5,942,948.01
  5. Step 5: Solve for x
    x = 5,942,948.01/2,664.80
  6. Step 6: Final answer
    x = 2,230.17

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1.5x scale

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.