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Finding the Fourth Proportional to 2,735.71, 3,775.05 and 1,616.59

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Solution

The fourth proportional to 2,735.71, 3,775.05 and 1,616.59 is: 2,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.71 : 3,775.05 = 1,616.59 : x
  2. Step 2: Convert to fraction form
    2,735.71/3,775.05 = 1,616.59/x
  3. Step 3: Cross multiply
    2,735.71x = 3,775.05 × 1,616.59
  4. Step 4: Simplify right side
    2,735.71x = 6,102,708.08
  5. Step 5: Solve for x
    x = 6,102,708.08/2,735.71
  6. Step 6: Final answer
    x = 2,230.76

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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.