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Finding the Fourth Proportional to 2,977.97, 4,467.41 and 897.71

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Solution

The fourth proportional to 2,977.97, 4,467.41 and 897.71 is: 1,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.97 : 4,467.41 = 897.71 : x
  2. Step 2: Convert to fraction form
    2,977.97/4,467.41 = 897.71/x
  3. Step 3: Cross multiply
    2,977.97x = 4,467.41 × 897.71
  4. Step 4: Simplify right side
    2,977.97x = 4,010,418.54
  5. Step 5: Solve for x
    x = 4,010,418.54/2,977.97
  6. Step 6: Final answer
    x = 1,346.69

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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.