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Finding the Fourth Proportional to 2,266.41, 3,400.56 and 880.71

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Solution

The fourth proportional to 2,266.41, 3,400.56 and 880.71 is: 1,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.41 : 3,400.56 = 880.71 : x
  2. Step 2: Convert to fraction form
    2,266.41/3,400.56 = 880.71/x
  3. Step 3: Cross multiply
    2,266.41x = 3,400.56 × 880.71
  4. Step 4: Simplify right side
    2,266.41x = 2,994,907.20
  5. Step 5: Solve for x
    x = 2,994,907.20/2,266.41
  6. Step 6: Final answer
    x = 1,321.43

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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.