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Finding the Fourth Proportional to 3,047.62, 4,205.72 and 1,650.37

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Solution

The fourth proportional to 3,047.62, 4,205.72 and 1,650.37 is: 2,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.62 : 4,205.72 = 1,650.37 : x
  2. Step 2: Convert to fraction form
    3,047.62/4,205.72 = 1,650.37/x
  3. Step 3: Cross multiply
    3,047.62x = 4,205.72 × 1,650.37
  4. Step 4: Simplify right side
    3,047.62x = 6,940,994.12
  5. Step 5: Solve for x
    x = 6,940,994.12/3,047.62
  6. Step 6: Final answer
    x = 2,277.51

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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.